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Finding the Fourth Proportional to 150,725.60, 225,792.80 and 87,412.71

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Solution

The fourth proportional to 150,725.60, 225,792.80 and 87,412.71 is: 130,947.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,725.60 : 225,792.80 = 87,412.71 : x
  2. Step 2: Convert to fraction form
    150,725.60/225,792.80 = 87,412.71/x
  3. Step 3: Cross multiply
    150,725.60x = 225,792.80 × 87,412.71
  4. Step 4: Simplify right side
    150,725.60x = 19,737,160,013.86
  5. Step 5: Solve for x
    x = 19,737,160,013.86/150,725.60
  6. Step 6: Final answer
    x = 130,947.63

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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.