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Finding the Fourth Proportional to 119,073.98, 178,654.72 and 85,831.58

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Solution

The fourth proportional to 119,073.98, 178,654.72 and 85,831.58 is: 128,778.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,073.98 : 178,654.72 = 85,831.58 : x
  2. Step 2: Convert to fraction form
    119,073.98/178,654.72 = 85,831.58/x
  3. Step 3: Cross multiply
    119,073.98x = 178,654.72 × 85,831.58
  4. Step 4: Simplify right side
    119,073.98x = 15,334,216,892.06
  5. Step 5: Solve for x
    x = 15,334,216,892.06/119,073.98
  6. Step 6: Final answer
    x = 128,778.91

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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.