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Finding the Fourth Proportional to 100,052.08, 150,078.12 and 47,432.86

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Solution

The fourth proportional to 100,052.08, 150,078.12 and 47,432.86 is: 71,149.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,052.08 : 150,078.12 = 47,432.86 : x
  2. Step 2: Convert to fraction form
    100,052.08/150,078.12 = 47,432.86/x
  3. Step 3: Cross multiply
    100,052.08x = 150,078.12 × 47,432.86
  4. Step 4: Simplify right side
    100,052.08x = 7,118,633,901.95
  5. Step 5: Solve for x
    x = 7,118,633,901.95/100,052.08
  6. Step 6: Final answer
    x = 71,149.29

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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.