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Finding the Fourth Proportional to 185,520, 278,280.78 and 78,876.48

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Solution

The fourth proportional to 185,520, 278,280.78 and 78,876.48 is: 118,315.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,520 : 278,280.78 = 78,876.48 : x
  2. Step 2: Convert to fraction form
    185,520/278,280.78 = 78,876.48/x
  3. Step 3: Cross multiply
    185,520x = 278,280.78 × 78,876.48
  4. Step 4: Simplify right side
    185,520x = 21,949,808,378.05
  5. Step 5: Solve for x
    x = 21,949,808,378.05/185,520
  6. Step 6: Final answer
    x = 118,315.05

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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.