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Finding the Fourth Proportional to 142,609.92, 213,894.40 and 44,101.12

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Solution

The fourth proportional to 142,609.92, 213,894.40 and 44,101.12 is: 66,145.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,609.92 : 213,894.40 = 44,101.12 : x
  2. Step 2: Convert to fraction form
    142,609.92/213,894.40 = 44,101.12/x
  3. Step 3: Cross multiply
    142,609.92x = 213,894.40 × 44,101.12
  4. Step 4: Simplify right side
    142,609.92x = 9,432,982,601.73
  5. Step 5: Solve for x
    x = 9,432,982,601.73/142,609.92
  6. Step 6: Final answer
    x = 66,145.35

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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.