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Finding the Fourth Proportional to 80,074.64, 110,184.27 and 77,639.78

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Solution

The fourth proportional to 80,074.64, 110,184.27 and 77,639.78 is: 106,833.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,074.64 : 110,184.27 = 77,639.78 : x
  2. Step 2: Convert to fraction form
    80,074.64/110,184.27 = 77,639.78/x
  3. Step 3: Cross multiply
    80,074.64x = 110,184.27 × 77,639.78
  4. Step 4: Simplify right side
    80,074.64x = 8,554,681,931.34
  5. Step 5: Solve for x
    x = 8,554,681,931.34/80,074.64
  6. Step 6: Final answer
    x = 106,833.85

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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.