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Finding the Fourth Proportional to 198,668, 297,943.68 and 58,393.28

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Solution

The fourth proportional to 198,668, 297,943.68 and 58,393.28 is: 87,572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,668 : 297,943.68 = 58,393.28 : x
  2. Step 2: Convert to fraction form
    198,668/297,943.68 = 58,393.28/x
  3. Step 3: Cross multiply
    198,668x = 297,943.68 × 58,393.28
  4. Step 4: Simplify right side
    198,668x = 17,397,908,730.47
  5. Step 5: Solve for x
    x = 17,397,908,730.47/198,668
  6. Step 6: Final answer
    x = 87,572.78

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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.