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Finding the Fourth Proportional to 99,872.38, 137,823.07 and 54,550.40

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Solution

The fourth proportional to 99,872.38, 137,823.07 and 54,550.40 is: 75,279.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,872.38 : 137,823.07 = 54,550.40 : x
  2. Step 2: Convert to fraction form
    99,872.38/137,823.07 = 54,550.40/x
  3. Step 3: Cross multiply
    99,872.38x = 137,823.07 × 54,550.40
  4. Step 4: Simplify right side
    99,872.38x = 7,518,302,704.05
  5. Step 5: Solve for x
    x = 7,518,302,704.05/99,872.38
  6. Step 6: Final answer
    x = 75,279.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.