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Finding the Fourth Proportional to 181,577.80, 272,136.30 and 161,763.40

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Solution

The fourth proportional to 181,577.80, 272,136.30 and 161,763.40 is: 242,439.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,577.80 : 272,136.30 = 161,763.40 : x
  2. Step 2: Convert to fraction form
    181,577.80/272,136.30 = 161,763.40/x
  3. Step 3: Cross multiply
    181,577.80x = 272,136.30 × 161,763.40
  4. Step 4: Simplify right side
    181,577.80x = 44,021,693,151.42
  5. Step 5: Solve for x
    x = 44,021,693,151.42/181,577.80
  6. Step 6: Final answer
    x = 242,439.84

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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.