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Finding the Fourth Proportional to 118,691.14, 178,869.85 and 106,856.74

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Solution

The fourth proportional to 118,691.14, 178,869.85 and 106,856.74 is: 161,035.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,691.14 : 178,869.85 = 106,856.74 : x
  2. Step 2: Convert to fraction form
    118,691.14/178,869.85 = 106,856.74/x
  3. Step 3: Cross multiply
    118,691.14x = 178,869.85 × 106,856.74
  4. Step 4: Simplify right side
    118,691.14x = 19,113,449,055.29
  5. Step 5: Solve for x
    x = 19,113,449,055.29/118,691.14
  6. Step 6: Final answer
    x = 161,035.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.