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Finding the Fourth Proportional to 162,807.30, 243,882.90 and 109,663.20

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Solution

The fourth proportional to 162,807.30, 243,882.90 and 109,663.20 is: 164,273.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,807.30 : 243,882.90 = 109,663.20 : x
  2. Step 2: Convert to fraction form
    162,807.30/243,882.90 = 109,663.20/x
  3. Step 3: Cross multiply
    162,807.30x = 243,882.90 × 109,663.20
  4. Step 4: Simplify right side
    162,807.30x = 26,744,979,239.28
  5. Step 5: Solve for x
    x = 26,744,979,239.28/162,807.30
  6. Step 6: Final answer
    x = 164,273.83

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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.