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Finding the Fourth Proportional to 198,160.57, 297,178.40 and 65,009.80

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Solution

The fourth proportional to 198,160.57, 297,178.40 and 65,009.80 is: 97,494.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,160.57 : 297,178.40 = 65,009.80 : x
  2. Step 2: Convert to fraction form
    198,160.57/297,178.40 = 65,009.80/x
  3. Step 3: Cross multiply
    198,160.57x = 297,178.40 × 65,009.80
  4. Step 4: Simplify right side
    198,160.57x = 19,319,506,862.43
  5. Step 5: Solve for x
    x = 19,319,506,862.43/198,160.57
  6. Step 6: Final answer
    x = 97,494.21

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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.