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Finding the Fourth Proportional to 177,810.60, 266,327.10 and 138,055.80

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Solution

The fourth proportional to 177,810.60, 266,327.10 and 138,055.80 is: 206,781.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,810.60 : 266,327.10 = 138,055.80 : x
  2. Step 2: Convert to fraction form
    177,810.60/266,327.10 = 138,055.80/x
  3. Step 3: Cross multiply
    177,810.60x = 266,327.10 × 138,055.80
  4. Step 4: Simplify right side
    177,810.60x = 36,768,000,852.18
  5. Step 5: Solve for x
    x = 36,768,000,852.18/177,810.60
  6. Step 6: Final answer
    x = 206,781.83

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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.