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Finding the Fourth Proportional to 185,671.87, 278,463.16 and 85,736.05

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Solution

The fourth proportional to 185,671.87, 278,463.16 and 85,736.05 is: 128,583.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,671.87 : 278,463.16 = 85,736.05 : x
  2. Step 2: Convert to fraction form
    185,671.87/278,463.16 = 85,736.05/x
  3. Step 3: Cross multiply
    185,671.87x = 278,463.16 × 85,736.05
  4. Step 4: Simplify right side
    185,671.87x = 23,874,330,819.93
  5. Step 5: Solve for x
    x = 23,874,330,819.93/185,671.87
  6. Step 6: Final answer
    x = 128,583.46

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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.