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Finding the Fourth Proportional to 181,517.80, 272,406.30 and 102,548.20

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Solution

The fourth proportional to 181,517.80, 272,406.30 and 102,548.20 is: 153,895.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,517.80 : 272,406.30 = 102,548.20 : x
  2. Step 2: Convert to fraction form
    181,517.80/272,406.30 = 102,548.20/x
  3. Step 3: Cross multiply
    181,517.80x = 272,406.30 × 102,548.20
  4. Step 4: Simplify right side
    181,517.80x = 27,934,775,733.66
  5. Step 5: Solve for x
    x = 27,934,775,733.66/181,517.80
  6. Step 6: Final answer
    x = 153,895.52

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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.