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Finding the Fourth Proportional to 142,713.90, 213,780.20 and 67,606.38

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Solution

The fourth proportional to 142,713.90, 213,780.20 and 67,606.38 is: 101,271.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,713.90 : 213,780.20 = 67,606.38 : x
  2. Step 2: Convert to fraction form
    142,713.90/213,780.20 = 67,606.38/x
  3. Step 3: Cross multiply
    142,713.90x = 213,780.20 × 67,606.38
  4. Step 4: Simplify right side
    142,713.90x = 14,452,905,099.64
  5. Step 5: Solve for x
    x = 14,452,905,099.64/142,713.90
  6. Step 6: Final answer
    x = 101,271.88

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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.