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Finding the Fourth Proportional to 137,300.40, 205,381.92 and 128,902.32

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Solution

The fourth proportional to 137,300.40, 205,381.92 and 128,902.32 is: 192,819.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,300.40 : 205,381.92 = 128,902.32 : x
  2. Step 2: Convert to fraction form
    137,300.40/205,381.92 = 128,902.32/x
  3. Step 3: Cross multiply
    137,300.40x = 205,381.92 × 128,902.32
  4. Step 4: Simplify right side
    137,300.40x = 26,474,205,974.05
  5. Step 5: Solve for x
    x = 26,474,205,974.05/137,300.40
  6. Step 6: Final answer
    x = 192,819.58

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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.