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Finding the Fourth Proportional to 142,176.87, 213,159.87 and 67,209.40

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Solution

The fourth proportional to 142,176.87, 213,159.87 and 67,209.40 is: 100,764.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,176.87 : 213,159.87 = 67,209.40 : x
  2. Step 2: Convert to fraction form
    142,176.87/213,159.87 = 67,209.40/x
  3. Step 3: Cross multiply
    142,176.87x = 213,159.87 × 67,209.40
  4. Step 4: Simplify right side
    142,176.87x = 14,326,346,034.20
  5. Step 5: Solve for x
    x = 14,326,346,034.20/142,176.87
  6. Step 6: Final answer
    x = 100,764.25

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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.