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Finding the Fourth Proportional to 177,317.80, 265,760.70 and 77,266.60

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Solution

The fourth proportional to 177,317.80, 265,760.70 and 77,266.60 is: 115,805.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,317.80 : 265,760.70 = 77,266.60 : x
  2. Step 2: Convert to fraction form
    177,317.80/265,760.70 = 77,266.60/x
  3. Step 3: Cross multiply
    177,317.80x = 265,760.70 × 77,266.60
  4. Step 4: Simplify right side
    177,317.80x = 20,534,425,702.62
  5. Step 5: Solve for x
    x = 20,534,425,702.62/177,317.80
  6. Step 6: Final answer
    x = 115,805.78

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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.