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Finding the Fourth Proportional to 98,382, 147,587.40 and 31,800

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Solution

The fourth proportional to 98,382, 147,587.40 and 31,800 is: 47,704.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,382 : 147,587.40 = 31,800 : x
  2. Step 2: Convert to fraction form
    98,382/147,587.40 = 31,800/x
  3. Step 3: Cross multiply
    98,382x = 147,587.40 × 31,800
  4. Step 4: Simplify right side
    98,382x = 4,693,279,320
  5. Step 5: Solve for x
    x = 4,693,279,320/98,382
  6. Step 6: Final answer
    x = 47,704.65

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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.