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Finding the Fourth Proportional to 147,951.52, 204,179.52 and 83,442.40

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Solution

The fourth proportional to 147,951.52, 204,179.52 and 83,442.40 is: 115,154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,951.52 : 204,179.52 = 83,442.40 : x
  2. Step 2: Convert to fraction form
    147,951.52/204,179.52 = 83,442.40/x
  3. Step 3: Cross multiply
    147,951.52x = 204,179.52 × 83,442.40
  4. Step 4: Simplify right side
    147,951.52x = 17,037,229,179.65
  5. Step 5: Solve for x
    x = 17,037,229,179.65/147,951.52
  6. Step 6: Final answer
    x = 115,154.13

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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.