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Finding the Fourth Proportional to 177,649.20, 266,387.40 and 98,679.60

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Solution

The fourth proportional to 177,649.20, 266,387.40 and 98,679.60 is: 147,971.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,649.20 : 266,387.40 = 98,679.60 : x
  2. Step 2: Convert to fraction form
    177,649.20/266,387.40 = 98,679.60/x
  3. Step 3: Cross multiply
    177,649.20x = 266,387.40 × 98,679.60
  4. Step 4: Simplify right side
    177,649.20x = 26,287,002,077.04
  5. Step 5: Solve for x
    x = 26,287,002,077.04/177,649.20
  6. Step 6: Final answer
    x = 147,971.41

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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.