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Finding the Fourth Proportional to 78,586.76, 117,809.06 and 28,655.18

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Solution

The fourth proportional to 78,586.76, 117,809.06 and 28,655.18 is: 42,956.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,586.76 : 117,809.06 = 28,655.18 : x
  2. Step 2: Convert to fraction form
    78,586.76/117,809.06 = 28,655.18/x
  3. Step 3: Cross multiply
    78,586.76x = 117,809.06 × 28,655.18
  4. Step 4: Simplify right side
    78,586.76x = 3,375,839,087.61
  5. Step 5: Solve for x
    x = 3,375,839,087.61/78,586.76
  6. Step 6: Final answer
    x = 42,956.85

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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.