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Finding the Fourth Proportional to 157,375.64, 236,137.17 and 78,495.95

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Solution

The fourth proportional to 157,375.64, 236,137.17 and 78,495.95 is: 117,780.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,375.64 : 236,137.17 = 78,495.95 : x
  2. Step 2: Convert to fraction form
    157,375.64/236,137.17 = 78,495.95/x
  3. Step 3: Cross multiply
    157,375.64x = 236,137.17 × 78,495.95
  4. Step 4: Simplify right side
    157,375.64x = 18,535,810,308.78
  5. Step 5: Solve for x
    x = 18,535,810,308.78/157,375.64
  6. Step 6: Final answer
    x = 117,780.69

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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.