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Finding the Fourth Proportional to 198,171.17, 297,287.75 and 65,021.15

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Solution

The fourth proportional to 198,171.17, 297,287.75 and 65,021.15 is: 97,541.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,171.17 : 297,287.75 = 65,021.15 : x
  2. Step 2: Convert to fraction form
    198,171.17/297,287.75 = 65,021.15/x
  3. Step 3: Cross multiply
    198,171.17x = 297,287.75 × 65,021.15
  4. Step 4: Simplify right side
    198,171.17x = 19,329,989,574.37
  5. Step 5: Solve for x
    x = 19,329,989,574.37/198,171.17
  6. Step 6: Final answer
    x = 97,541.89

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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.