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Finding the Fourth Proportional to 198,210.38, 273,441.02 and 117,641.30

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Solution

The fourth proportional to 198,210.38, 273,441.02 and 117,641.30 is: 162,291.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,210.38 : 273,441.02 = 117,641.30 : x
  2. Step 2: Convert to fraction form
    198,210.38/273,441.02 = 117,641.30/x
  3. Step 3: Cross multiply
    198,210.38x = 273,441.02 × 117,641.30
  4. Step 4: Simplify right side
    198,210.38x = 32,167,957,066.13
  5. Step 5: Solve for x
    x = 32,167,957,066.13/198,210.38
  6. Step 6: Final answer
    x = 162,291.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.