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Finding the Fourth Proportional to 138,085.88, 207,063.38 and 48,097.20

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Solution

The fourth proportional to 138,085.88, 207,063.38 and 48,097.20 is: 72,123.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,085.88 : 207,063.38 = 48,097.20 : x
  2. Step 2: Convert to fraction form
    138,085.88/207,063.38 = 48,097.20/x
  3. Step 3: Cross multiply
    138,085.88x = 207,063.38 × 48,097.20
  4. Step 4: Simplify right side
    138,085.88x = 9,959,168,800.54
  5. Step 5: Solve for x
    x = 9,959,168,800.54/138,085.88
  6. Step 6: Final answer
    x = 72,123.01

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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.