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Finding the Fourth Proportional to 138,827.34, 208,277.87 and 72,247.77

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Solution

The fourth proportional to 138,827.34, 208,277.87 and 72,247.77 is: 108,390.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,827.34 : 208,277.87 = 72,247.77 : x
  2. Step 2: Convert to fraction form
    138,827.34/208,277.87 = 72,247.77/x
  3. Step 3: Cross multiply
    138,827.34x = 208,277.87 × 72,247.77
  4. Step 4: Simplify right side
    138,827.34x = 15,047,611,286.61
  5. Step 5: Solve for x
    x = 15,047,611,286.61/138,827.34
  6. Step 6: Final answer
    x = 108,390.83

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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.