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Finding the Fourth Proportional to 138,644.80, 207,967.20 and 110,104.45

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Solution

The fourth proportional to 138,644.80, 207,967.20 and 110,104.45 is: 165,156.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,644.80 : 207,967.20 = 110,104.45 : x
  2. Step 2: Convert to fraction form
    138,644.80/207,967.20 = 110,104.45/x
  3. Step 3: Cross multiply
    138,644.80x = 207,967.20 × 110,104.45
  4. Step 4: Simplify right side
    138,644.80x = 22,898,114,174.04
  5. Step 5: Solve for x
    x = 22,898,114,174.04/138,644.80
  6. Step 6: Final answer
    x = 165,156.68

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1.5x scale

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.