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Finding the Fourth Proportional to 138,800.40, 208,249.20 and 59,971.20

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Solution

The fourth proportional to 138,800.40, 208,249.20 and 59,971.20 is: 89,977.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,800.40 : 208,249.20 = 59,971.20 : x
  2. Step 2: Convert to fraction form
    138,800.40/208,249.20 = 59,971.20/x
  3. Step 3: Cross multiply
    138,800.40x = 208,249.20 × 59,971.20
  4. Step 4: Simplify right side
    138,800.40x = 12,488,954,423.04
  5. Step 5: Solve for x
    x = 12,488,954,423.04/138,800.40
  6. Step 6: Final answer
    x = 89,977.80

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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.