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Finding the Fourth Proportional to 157,047.80, 216,728.84 and 85,428.40

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Solution

The fourth proportional to 157,047.80, 216,728.84 and 85,428.40 is: 117,892.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,047.80 : 216,728.84 = 85,428.40 : x
  2. Step 2: Convert to fraction form
    157,047.80/216,728.84 = 85,428.40/x
  3. Step 3: Cross multiply
    157,047.80x = 216,728.84 × 85,428.40
  4. Step 4: Simplify right side
    157,047.80x = 18,514,798,035.06
  5. Step 5: Solve for x
    x = 18,514,798,035.06/157,047.80
  6. Step 6: Final answer
    x = 117,892.76

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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.