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Finding the Fourth Proportional to 98,511.88, 147,791.40 and 31,952.20

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Solution

The fourth proportional to 98,511.88, 147,791.40 and 31,952.20 is: 47,935.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,511.88 : 147,791.40 = 31,952.20 : x
  2. Step 2: Convert to fraction form
    98,511.88/147,791.40 = 31,952.20/x
  3. Step 3: Cross multiply
    98,511.88x = 147,791.40 × 31,952.20
  4. Step 4: Simplify right side
    98,511.88x = 4,722,260,371.08
  5. Step 5: Solve for x
    x = 4,722,260,371.08/98,511.88
  6. Step 6: Final answer
    x = 47,935.95

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1.5x scale

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.