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Finding the Fourth Proportional to 92,515.86, 138,628.42 and 71,507.34

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Solution

The fourth proportional to 92,515.86, 138,628.42 and 71,507.34 is: 107,148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,515.86 : 138,628.42 = 71,507.34 : x
  2. Step 2: Convert to fraction form
    92,515.86/138,628.42 = 71,507.34/x
  3. Step 3: Cross multiply
    92,515.86x = 138,628.42 × 71,507.34
  4. Step 4: Simplify right side
    92,515.86x = 9,912,949,562.60
  5. Step 5: Solve for x
    x = 9,912,949,562.60/92,515.86
  6. Step 6: Final answer
    x = 107,148.65

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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.