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Finding the Fourth Proportional to 177,489.30, 266,195.55 and 77,649.30

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Solution

The fourth proportional to 177,489.30, 266,195.55 and 77,649.30 is: 116,457.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,489.30 : 266,195.55 = 77,649.30 : x
  2. Step 2: Convert to fraction form
    177,489.30/266,195.55 = 77,649.30/x
  3. Step 3: Cross multiply
    177,489.30x = 266,195.55 × 77,649.30
  4. Step 4: Simplify right side
    177,489.30x = 20,669,898,120.62
  5. Step 5: Solve for x
    x = 20,669,898,120.62/177,489.30
  6. Step 6: Final answer
    x = 116,457.15

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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.