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Finding the Fourth Proportional to 99,300.75, 148,951.13 and 25,428.75

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Solution

The fourth proportional to 99,300.75, 148,951.13 and 25,428.75 is: 38,143.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,300.75 : 148,951.13 = 25,428.75 : x
  2. Step 2: Convert to fraction form
    99,300.75/148,951.13 = 25,428.75/x
  3. Step 3: Cross multiply
    99,300.75x = 148,951.13 × 25,428.75
  4. Step 4: Simplify right side
    99,300.75x = 3,787,640,919.84
  5. Step 5: Solve for x
    x = 3,787,640,919.84/99,300.75
  6. Step 6: Final answer
    x = 38,143.13

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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.