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Finding the Fourth Proportional to 71,023.68, 106,434 and 52,155.72

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Solution

The fourth proportional to 71,023.68, 106,434 and 52,155.72 is: 78,159.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,023.68 : 106,434 = 52,155.72 : x
  2. Step 2: Convert to fraction form
    71,023.68/106,434 = 52,155.72/x
  3. Step 3: Cross multiply
    71,023.68x = 106,434 × 52,155.72
  4. Step 4: Simplify right side
    71,023.68x = 5,551,141,902.48
  5. Step 5: Solve for x
    x = 5,551,141,902.48/71,023.68
  6. Step 6: Final answer
    x = 78,159.03

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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.