Finding the Fourth Proportional to 97,803.24, 134,959.14 and 77,708.76
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Solution
The fourth proportional to 97,803.24, 134,959.14 and 77,708.76 is: 107,230.67
Step by Step Solution
- Step 1: Write the proportion equation
97,803.24 : 134,959.14 = 77,708.76 : x - Step 2: Convert to fraction form
97,803.24/134,959.14 = 77,708.76/x - Step 3: Cross multiply
97,803.24x = 134,959.14 × 77,708.76 - Step 4: Simplify right side
97,803.24x = 10,487,507,420.07 - Step 5: Solve for x
x = 10,487,507,420.07/97,803.24 - Step 6: Final answer
x = 107,230.67
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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.