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Finding the Fourth Proportional to 138,886.56, 208,316.88 and 68,811.84

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Solution

The fourth proportional to 138,886.56, 208,316.88 and 68,811.84 is: 103,211.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,886.56 : 208,316.88 = 68,811.84 : x
  2. Step 2: Convert to fraction form
    138,886.56/208,316.88 = 68,811.84/x
  3. Step 3: Cross multiply
    138,886.56x = 208,316.88 × 68,811.84
  4. Step 4: Simplify right side
    138,886.56x = 14,334,667,815.86
  5. Step 5: Solve for x
    x = 14,334,667,815.86/138,886.56
  6. Step 6: Final answer
    x = 103,211.34

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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.