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Finding the Fourth Proportional to 157,714.80, 236,572.20 and 78,841.20

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Solution

The fourth proportional to 157,714.80, 236,572.20 and 78,841.20 is: 118,261.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,714.80 : 236,572.20 = 78,841.20 : x
  2. Step 2: Convert to fraction form
    157,714.80/236,572.20 = 78,841.20/x
  3. Step 3: Cross multiply
    157,714.80x = 236,572.20 × 78,841.20
  4. Step 4: Simplify right side
    157,714.80x = 18,651,636,134.64
  5. Step 5: Solve for x
    x = 18,651,636,134.64/157,714.80
  6. Step 6: Final answer
    x = 118,261.80

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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.