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Finding the Fourth Proportional to 138,871.40, 208,316.88 and 68,731.88

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Solution

The fourth proportional to 138,871.40, 208,316.88 and 68,731.88 is: 103,102.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,871.40 : 208,316.88 = 68,731.88 : x
  2. Step 2: Convert to fraction form
    138,871.40/208,316.88 = 68,731.88/x
  3. Step 3: Cross multiply
    138,871.40x = 208,316.88 × 68,731.88
  4. Step 4: Simplify right side
    138,871.40x = 14,318,009,756.55
  5. Step 5: Solve for x
    x = 14,318,009,756.55/138,871.40
  6. Step 6: Final answer
    x = 103,102.66

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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.