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Finding the Fourth Proportional to 120,902.10, 169,437.90 and 120,902.10

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Solution

The fourth proportional to 120,902.10, 169,437.90 and 120,902.10 is: 169,437.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,902.10 : 169,437.90 = 120,902.10 : x
  2. Step 2: Convert to fraction form
    120,902.10/169,437.90 = 120,902.10/x
  3. Step 3: Cross multiply
    120,902.10x = 169,437.90 × 120,902.10
  4. Step 4: Simplify right side
    120,902.10x = 20,485,397,929.59
  5. Step 5: Solve for x
    x = 20,485,397,929.59/120,902.10
  6. Step 6: Final answer
    x = 169,437.90

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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.