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Finding the Fourth Proportional to 138,803.76, 208,201.86 and 38,964.78

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Solution

The fourth proportional to 138,803.76, 208,201.86 and 38,964.78 is: 58,446.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,803.76 : 208,201.86 = 38,964.78 : x
  2. Step 2: Convert to fraction form
    138,803.76/208,201.86 = 38,964.78/x
  3. Step 3: Cross multiply
    138,803.76x = 208,201.86 × 38,964.78
  4. Step 4: Simplify right side
    138,803.76x = 8,112,539,670.49
  5. Step 5: Solve for x
    x = 8,112,539,670.49/138,803.76
  6. Step 6: Final answer
    x = 58,446.11

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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.