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Finding the Fourth Proportional to 138,020.52, 207,020.78 and 36,810.76

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Solution

The fourth proportional to 138,020.52, 207,020.78 and 36,810.76 is: 55,213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,020.52 : 207,020.78 = 36,810.76 : x
  2. Step 2: Convert to fraction form
    138,020.52/207,020.78 = 36,810.76/x
  3. Step 3: Cross multiply
    138,020.52x = 207,020.78 × 36,810.76
  4. Step 4: Simplify right side
    138,020.52x = 7,620,592,247.59
  5. Step 5: Solve for x
    x = 7,620,592,247.59/138,020.52
  6. Step 6: Final answer
    x = 55,213.47

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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.