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Finding the Fourth Proportional to 198,065.09, 273,364.74 and 117,537

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Solution

The fourth proportional to 198,065.09, 273,364.74 and 117,537 is: 162,221.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,065.09 : 273,364.74 = 117,537 : x
  2. Step 2: Convert to fraction form
    198,065.09/273,364.74 = 117,537/x
  3. Step 3: Cross multiply
    198,065.09x = 273,364.74 × 117,537
  4. Step 4: Simplify right side
    198,065.09x = 32,130,471,445.38
  5. Step 5: Solve for x
    x = 32,130,471,445.38/198,065.09
  6. Step 6: Final answer
    x = 162,221.78

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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.