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Finding the Fourth Proportional to 157,044.38, 216,721.34 and 89,039.61

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Solution

The fourth proportional to 157,044.38, 216,721.34 and 89,039.61 is: 122,874.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,044.38 : 216,721.34 = 89,039.61 : x
  2. Step 2: Convert to fraction form
    157,044.38/216,721.34 = 89,039.61/x
  3. Step 3: Cross multiply
    157,044.38x = 216,721.34 × 89,039.61
  4. Step 4: Simplify right side
    157,044.38x = 19,296,783,480.98
  5. Step 5: Solve for x
    x = 19,296,783,480.98/157,044.38
  6. Step 6: Final answer
    x = 122,874.72

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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.