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Finding the Fourth Proportional to 78,432.68, 117,552.64 and 36,255.70

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Solution

The fourth proportional to 78,432.68, 117,552.64 and 36,255.70 is: 54,339.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,432.68 : 117,552.64 = 36,255.70 : x
  2. Step 2: Convert to fraction form
    78,432.68/117,552.64 = 36,255.70/x
  3. Step 3: Cross multiply
    78,432.68x = 117,552.64 × 36,255.70
  4. Step 4: Simplify right side
    78,432.68x = 4,261,953,250.05
  5. Step 5: Solve for x
    x = 4,261,953,250.05/78,432.68
  6. Step 6: Final answer
    x = 54,339.00

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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.