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Finding the Fourth Proportional to 153,414.47, 211,711.93 and 89,764.61

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Solution

The fourth proportional to 153,414.47, 211,711.93 and 89,764.61 is: 123,875.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,414.47 : 211,711.93 = 89,764.61 : x
  2. Step 2: Convert to fraction form
    153,414.47/211,711.93 = 89,764.61/x
  3. Step 3: Cross multiply
    153,414.47x = 211,711.93 × 89,764.61
  4. Step 4: Simplify right side
    153,414.47x = 19,004,237,545.83
  5. Step 5: Solve for x
    x = 19,004,237,545.83/153,414.47
  6. Step 6: Final answer
    x = 123,875.13

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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.