Finding the Fourth Proportional to 117,127,709,760.92, 161,624,945,090.08 and 65,688,357,890.12
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Solution
The fourth proportional to 117,127,709,760.92, 161,624,945,090.08 and 65,688,357,890.12 is: 90,643,599,697.45
Step by Step Solution
- Step 1: Write the proportion equation
117,127,709,760.92 : 161,624,945,090.08 = 65,688,357,890.12 : x - Step 2: Convert to fraction form
117,127,709,760.92/161,624,945,090.08 = 65,688,357,890.12/x - Step 3: Cross multiply
117,127,709,760.92x = 161,624,945,090.08 × 65,688,357,890.12 - Step 4: Simplify right side
117,127,709,760.92x = 10,616,877,237,048,168,153,088 - Step 5: Solve for x
x = 10,616,877,237,048,168,153,088/117,127,709,760.92 - Step 6: Final answer
x = 90,643,599,697.45
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.