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Finding the Fourth Proportional to 185,478.74, 278,213.79 and 101,320.82

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Solution

The fourth proportional to 185,478.74, 278,213.79 and 101,320.82 is: 151,978.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,478.74 : 278,213.79 = 101,320.82 : x
  2. Step 2: Convert to fraction form
    185,478.74/278,213.79 = 101,320.82/x
  3. Step 3: Cross multiply
    185,478.74x = 278,213.79 × 101,320.82
  4. Step 4: Simplify right side
    185,478.74x = 28,188,849,338.11
  5. Step 5: Solve for x
    x = 28,188,849,338.11/185,478.74
  6. Step 6: Final answer
    x = 151,978.87

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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.