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Finding the Fourth Proportional to 157,680.62, 236,354.82 and 78,628.77

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Solution

The fourth proportional to 157,680.62, 236,354.82 and 78,628.77 is: 117,860.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,680.62 : 236,354.82 = 78,628.77 : x
  2. Step 2: Convert to fraction form
    157,680.62/236,354.82 = 78,628.77/x
  3. Step 3: Cross multiply
    157,680.62x = 236,354.82 × 78,628.77
  4. Step 4: Simplify right side
    157,680.62x = 18,584,288,780.17
  5. Step 5: Solve for x
    x = 18,584,288,780.17/157,680.62
  6. Step 6: Final answer
    x = 117,860.32

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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.