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Finding the Fourth Proportional to 138,712.20, 208,069.20 and 45,217.98

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Solution

The fourth proportional to 138,712.20, 208,069.20 and 45,217.98 is: 67,827.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,712.20 : 208,069.20 = 45,217.98 : x
  2. Step 2: Convert to fraction form
    138,712.20/208,069.20 = 45,217.98/x
  3. Step 3: Cross multiply
    138,712.20x = 208,069.20 × 45,217.98
  4. Step 4: Simplify right side
    138,712.20x = 9,408,468,924.22
  5. Step 5: Solve for x
    x = 9,408,468,924.22/138,712.20
  6. Step 6: Final answer
    x = 67,827.26

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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.