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Finding the Fourth Proportional to 157,122.91, 216,829.47 and 85,502.80

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Solution

The fourth proportional to 157,122.91, 216,829.47 and 85,502.80 is: 117,993.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,122.91 : 216,829.47 = 85,502.80 : x
  2. Step 2: Convert to fraction form
    157,122.91/216,829.47 = 85,502.80/x
  3. Step 3: Cross multiply
    157,122.91x = 216,829.47 × 85,502.80
  4. Step 4: Simplify right side
    157,122.91x = 18,539,526,807.52
  5. Step 5: Solve for x
    x = 18,539,526,807.52/157,122.91
  6. Step 6: Final answer
    x = 117,993.78

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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.