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Finding the Fourth Proportional to 198,365.40, 297,567.72 and 65,191.68

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Solution

The fourth proportional to 198,365.40, 297,567.72 and 65,191.68 is: 97,793.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,365.40 : 297,567.72 = 65,191.68 : x
  2. Step 2: Convert to fraction form
    198,365.40/297,567.72 = 65,191.68/x
  3. Step 3: Cross multiply
    198,365.40x = 297,567.72 × 65,191.68
  4. Step 4: Simplify right side
    198,365.40x = 19,398,939,580.57
  5. Step 5: Solve for x
    x = 19,398,939,580.57/198,365.40
  6. Step 6: Final answer
    x = 97,793.97

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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.