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Finding the Fourth Proportional to 83,462.56, 125,419.12 and 78,148

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Solution

The fourth proportional to 83,462.56, 125,419.12 and 78,148 is: 117,432.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,462.56 : 125,419.12 = 78,148 : x
  2. Step 2: Convert to fraction form
    83,462.56/125,419.12 = 78,148/x
  3. Step 3: Cross multiply
    83,462.56x = 125,419.12 × 78,148
  4. Step 4: Simplify right side
    83,462.56x = 9,801,253,389.76
  5. Step 5: Solve for x
    x = 9,801,253,389.76/83,462.56
  6. Step 6: Final answer
    x = 117,432.94

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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.