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Finding the Fourth Proportional to 157,129.41, 216,838.18 and 85,509.42

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Solution

The fourth proportional to 157,129.41, 216,838.18 and 85,509.42 is: 118,002.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,129.41 : 216,838.18 = 85,509.42 : x
  2. Step 2: Convert to fraction form
    157,129.41/216,838.18 = 85,509.42/x
  3. Step 3: Cross multiply
    157,129.41x = 216,838.18 × 85,509.42
  4. Step 4: Simplify right side
    157,129.41x = 18,541,707,005.66
  5. Step 5: Solve for x
    x = 18,541,707,005.66/157,129.41
  6. Step 6: Final answer
    x = 118,002.78

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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.