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Finding the Fourth Proportional to 81,678.76, 112,366.74 and 78,179.56

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Solution

The fourth proportional to 81,678.76, 112,366.74 and 78,179.56 is: 107,552.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,678.76 : 112,366.74 = 78,179.56 : x
  2. Step 2: Convert to fraction form
    81,678.76/112,366.74 = 78,179.56/x
  3. Step 3: Cross multiply
    81,678.76x = 112,366.74 × 78,179.56
  4. Step 4: Simplify right side
    81,678.76x = 8,784,782,291.83
  5. Step 5: Solve for x
    x = 8,784,782,291.83/81,678.76
  6. Step 6: Final answer
    x = 107,552.84

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1.5x scale

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.