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Finding the Fourth Proportional to 120,767.20, 169,424 and 120,767.20

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Solution

The fourth proportional to 120,767.20, 169,424 and 120,767.20 is: 169,424

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,767.20 : 169,424 = 120,767.20 : x
  2. Step 2: Convert to fraction form
    120,767.20/169,424 = 120,767.20/x
  3. Step 3: Cross multiply
    120,767.20x = 169,424 × 120,767.20
  4. Step 4: Simplify right side
    120,767.20x = 20,460,862,092.80
  5. Step 5: Solve for x
    x = 20,460,862,092.80/120,767.20
  6. Step 6: Final answer
    x = 169,424

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.