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Finding the Fourth Proportional to 201,842.38, 278,542.48 and 117,008.65

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Solution

The fourth proportional to 201,842.38, 278,542.48 and 117,008.65 is: 161,471.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,842.38 : 278,542.48 = 117,008.65 : x
  2. Step 2: Convert to fraction form
    201,842.38/278,542.48 = 117,008.65/x
  3. Step 3: Cross multiply
    201,842.38x = 278,542.48 × 117,008.65
  4. Step 4: Simplify right side
    201,842.38x = 32,591,878,159.74
  5. Step 5: Solve for x
    x = 32,591,878,159.74/201,842.38
  6. Step 6: Final answer
    x = 161,471.93

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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.