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Finding the Fourth Proportional to 138,681.76, 191,380.84 and 78,265.20

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Solution

The fourth proportional to 138,681.76, 191,380.84 and 78,265.20 is: 108,005.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,681.76 : 191,380.84 = 78,265.20 : x
  2. Step 2: Convert to fraction form
    138,681.76/191,380.84 = 78,265.20/x
  3. Step 3: Cross multiply
    138,681.76x = 191,380.84 × 78,265.20
  4. Step 4: Simplify right side
    138,681.76x = 14,978,459,718.77
  5. Step 5: Solve for x
    x = 14,978,459,718.77/138,681.76
  6. Step 6: Final answer
    x = 108,005.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.