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Finding the Fourth Proportional to 157,107.65, 216,814.01 and 85,490.42

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Solution

The fourth proportional to 157,107.65, 216,814.01 and 85,490.42 is: 117,979.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,107.65 : 216,814.01 = 85,490.42 : x
  2. Step 2: Convert to fraction form
    157,107.65/216,814.01 = 85,490.42/x
  3. Step 3: Cross multiply
    157,107.65x = 216,814.01 × 85,490.42
  4. Step 4: Simplify right side
    157,107.65x = 18,535,519,265.26
  5. Step 5: Solve for x
    x = 18,535,519,265.26/157,107.65
  6. Step 6: Final answer
    x = 117,979.74

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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.