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Finding the Fourth Proportional to 78,347.68, 117,390.76 and 75,432.14

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Solution

The fourth proportional to 78,347.68, 117,390.76 and 75,432.14 is: 113,022.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,347.68 : 117,390.76 = 75,432.14 : x
  2. Step 2: Convert to fraction form
    78,347.68/117,390.76 = 75,432.14/x
  3. Step 3: Cross multiply
    78,347.68x = 117,390.76 × 75,432.14
  4. Step 4: Simplify right side
    78,347.68x = 8,855,035,471.47
  5. Step 5: Solve for x
    x = 8,855,035,471.47/78,347.68
  6. Step 6: Final answer
    x = 113,022.31

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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.