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Finding the Fourth Proportional to 198,646.01, 297,978.19 and 65,537.90

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Solution

The fourth proportional to 198,646.01, 297,978.19 and 65,537.90 is: 98,309.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,646.01 : 297,978.19 = 65,537.90 : x
  2. Step 2: Convert to fraction form
    198,646.01/297,978.19 = 65,537.90/x
  3. Step 3: Cross multiply
    198,646.01x = 297,978.19 × 65,537.90
  4. Step 4: Simplify right side
    198,646.01x = 19,528,864,818.40
  5. Step 5: Solve for x
    x = 19,528,864,818.40/198,646.01
  6. Step 6: Final answer
    x = 98,309.88

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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.