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Finding the Fourth Proportional to 150,390, 225,434.88 and 75,280.86

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Solution

The fourth proportional to 150,390, 225,434.88 and 75,280.86 is: 112,846.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,390 : 225,434.88 = 75,280.86 : x
  2. Step 2: Convert to fraction form
    150,390/225,434.88 = 75,280.86/x
  3. Step 3: Cross multiply
    150,390x = 225,434.88 × 75,280.86
  4. Step 4: Simplify right side
    150,390x = 16,970,931,640.40
  5. Step 5: Solve for x
    x = 16,970,931,640.40/150,390
  6. Step 6: Final answer
    x = 112,846.14

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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.