Finding the Fourth Proportional to 185,822.16, 256,451.70 and 105,253.08
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Solution
The fourth proportional to 185,822.16, 256,451.70 and 105,253.08 is: 145,258.95
Step by Step Solution
- Step 1: Write the proportion equation
185,822.16 : 256,451.70 = 105,253.08 : x - Step 2: Convert to fraction form
185,822.16/256,451.70 = 105,253.08/x - Step 3: Cross multiply
185,822.16x = 256,451.70 × 105,253.08 - Step 4: Simplify right side
185,822.16x = 26,992,331,296.24 - Step 5: Solve for x
x = 26,992,331,296.24/185,822.16 - Step 6: Final answer
x = 145,258.95
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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.