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Finding the Fourth Proportional to 119,134.61, 178,649.42 and 55,972.68

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Solution

The fourth proportional to 119,134.61, 178,649.42 and 55,972.68 is: 83,934.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,134.61 : 178,649.42 = 55,972.68 : x
  2. Step 2: Convert to fraction form
    119,134.61/178,649.42 = 55,972.68/x
  3. Step 3: Cross multiply
    119,134.61x = 178,649.42 × 55,972.68
  4. Step 4: Simplify right side
    119,134.61x = 9,999,486,957.78
  5. Step 5: Solve for x
    x = 9,999,486,957.78/119,134.61
  6. Step 6: Final answer
    x = 83,934.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.