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Finding the Fourth Proportional to 181,398.30, 271,967.85 and 81,476.70

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Solution

The fourth proportional to 181,398.30, 271,967.85 and 81,476.70 is: 122,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,398.30 : 271,967.85 = 81,476.70 : x
  2. Step 2: Convert to fraction form
    181,398.30/271,967.85 = 81,476.70/x
  3. Step 3: Cross multiply
    181,398.30x = 271,967.85 × 81,476.70
  4. Step 4: Simplify right side
    181,398.30x = 22,159,042,924.10
  5. Step 5: Solve for x
    x = 22,159,042,924.10/181,398.30
  6. Step 6: Final answer
    x = 122,156.84

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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.