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Finding the Fourth Proportional to 138,600.82, 207,904.47 and 45,113.86

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Solution

The fourth proportional to 138,600.82, 207,904.47 and 45,113.86 is: 67,671.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,600.82 : 207,904.47 = 45,113.86 : x
  2. Step 2: Convert to fraction form
    138,600.82/207,904.47 = 45,113.86/x
  3. Step 3: Cross multiply
    138,600.82x = 207,904.47 × 45,113.86
  4. Step 4: Simplify right side
    138,600.82x = 9,379,373,152.95
  5. Step 5: Solve for x
    x = 9,379,373,152.95/138,600.82
  6. Step 6: Final answer
    x = 67,671.84

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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.