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Finding the Fourth Proportional to 138,245.48, 207,206.36 and 52,800.36

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Solution

The fourth proportional to 138,245.48, 207,206.36 and 52,800.36 is: 79,138.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,245.48 : 207,206.36 = 52,800.36 : x
  2. Step 2: Convert to fraction form
    138,245.48/207,206.36 = 52,800.36/x
  3. Step 3: Cross multiply
    138,245.48x = 207,206.36 × 52,800.36
  4. Step 4: Simplify right side
    138,245.48x = 10,940,570,402.29
  5. Step 5: Solve for x
    x = 10,940,570,402.29/138,245.48
  6. Step 6: Final answer
    x = 79,138.72

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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.