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Finding the Fourth Proportional to 185,400, 278,108.64 and 54,072

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Solution

The fourth proportional to 185,400, 278,108.64 and 54,072 is: 81,110.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,400 : 278,108.64 = 54,072 : x
  2. Step 2: Convert to fraction form
    185,400/278,108.64 = 54,072/x
  3. Step 3: Cross multiply
    185,400x = 278,108.64 × 54,072
  4. Step 4: Simplify right side
    185,400x = 15,037,890,382.08
  5. Step 5: Solve for x
    x = 15,037,890,382.08/185,400
  6. Step 6: Final answer
    x = 81,110.52

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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.