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Finding the Fourth Proportional to 177,655.80, 266,445.30 and 77,815.80

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Solution

The fourth proportional to 177,655.80, 266,445.30 and 77,815.80 is: 116,706.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,655.80 : 266,445.30 = 77,815.80 : x
  2. Step 2: Convert to fraction form
    177,655.80/266,445.30 = 77,815.80/x
  3. Step 3: Cross multiply
    177,655.80x = 266,445.30 × 77,815.80
  4. Step 4: Simplify right side
    177,655.80x = 20,733,654,175.74
  5. Step 5: Solve for x
    x = 20,733,654,175.74/177,655.80
  6. Step 6: Final answer
    x = 116,706.88

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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.