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Finding the Fourth Proportional to 204,603.46, 306,947.27 and 86,275.14

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Solution

The fourth proportional to 204,603.46, 306,947.27 and 86,275.14 is: 129,430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,603.46 : 306,947.27 = 86,275.14 : x
  2. Step 2: Convert to fraction form
    204,603.46/306,947.27 = 86,275.14/x
  3. Step 3: Cross multiply
    204,603.46x = 306,947.27 × 86,275.14
  4. Step 4: Simplify right side
    204,603.46x = 26,481,918,691.87
  5. Step 5: Solve for x
    x = 26,481,918,691.87/204,603.46
  6. Step 6: Final answer
    x = 129,430.45

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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.