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Finding the Fourth Proportional to 185,510.59, 278,288.06 and 65,542.70

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Solution

The fourth proportional to 185,510.59, 278,288.06 and 65,542.70 is: 98,321.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,510.59 : 278,288.06 = 65,542.70 : x
  2. Step 2: Convert to fraction form
    185,510.59/278,288.06 = 65,542.70/x
  3. Step 3: Cross multiply
    185,510.59x = 278,288.06 × 65,542.70
  4. Step 4: Simplify right side
    185,510.59x = 18,239,751,198.17
  5. Step 5: Solve for x
    x = 18,239,751,198.17/185,510.59
  6. Step 6: Final answer
    x = 98,321.89

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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.