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Finding the Fourth Proportional to 142,100.60, 213,248.10 and 78,920.60

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Solution

The fourth proportional to 142,100.60, 213,248.10 and 78,920.60 is: 118,434.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,100.60 : 213,248.10 = 78,920.60 : x
  2. Step 2: Convert to fraction form
    142,100.60/213,248.10 = 78,920.60/x
  3. Step 3: Cross multiply
    142,100.60x = 213,248.10 × 78,920.60
  4. Step 4: Simplify right side
    142,100.60x = 16,829,668,000.86
  5. Step 5: Solve for x
    x = 16,829,668,000.86/142,100.60
  6. Step 6: Final answer
    x = 118,434.88

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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.