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Finding the Fourth Proportional to 198,309.72, 297,401.49 and 65,159.28

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Solution

The fourth proportional to 198,309.72, 297,401.49 and 65,159.28 is: 97,718.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,309.72 : 297,401.49 = 65,159.28 : x
  2. Step 2: Convert to fraction form
    198,309.72/297,401.49 = 65,159.28/x
  3. Step 3: Cross multiply
    198,309.72x = 297,401.49 × 65,159.28
  4. Step 4: Simplify right side
    198,309.72x = 19,378,466,959.33
  5. Step 5: Solve for x
    x = 19,378,466,959.33/198,309.72
  6. Step 6: Final answer
    x = 97,718.19

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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.