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Finding the Fourth Proportional to 198,170.79, 297,287.18 and 65,020.77

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Solution

The fourth proportional to 198,170.79, 297,287.18 and 65,020.77 is: 97,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,170.79 : 297,287.18 = 65,020.77 : x
  2. Step 2: Convert to fraction form
    198,170.79/297,287.18 = 65,020.77/x
  3. Step 3: Cross multiply
    198,170.79x = 297,287.18 × 65,020.77
  4. Step 4: Simplify right side
    198,170.79x = 19,329,841,029.62
  5. Step 5: Solve for x
    x = 19,329,841,029.62/198,170.79
  6. Step 6: Final answer
    x = 97,541.32

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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.