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Finding the Fourth Proportional to 142,606.79, 213,840.96 and 71,498.88

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Solution

The fourth proportional to 142,606.79, 213,840.96 and 71,498.88 is: 107,213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,606.79 : 213,840.96 = 71,498.88 : x
  2. Step 2: Convert to fraction form
    142,606.79/213,840.96 = 71,498.88/x
  3. Step 3: Cross multiply
    142,606.79x = 213,840.96 × 71,498.88
  4. Step 4: Simplify right side
    142,606.79x = 15,289,389,138.12
  5. Step 5: Solve for x
    x = 15,289,389,138.12/142,606.79
  6. Step 6: Final answer
    x = 107,213.62

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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.