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Finding the Fourth Proportional to 161,765.80, 242,648.70 and 73,192.30

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Solution

The fourth proportional to 161,765.80, 242,648.70 and 73,192.30 is: 109,788.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,765.80 : 242,648.70 = 73,192.30 : x
  2. Step 2: Convert to fraction form
    161,765.80/242,648.70 = 73,192.30/x
  3. Step 3: Cross multiply
    161,765.80x = 242,648.70 × 73,192.30
  4. Step 4: Simplify right side
    161,765.80x = 17,760,016,445.01
  5. Step 5: Solve for x
    x = 17,760,016,445.01/161,765.80
  6. Step 6: Final answer
    x = 109,788.45

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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.