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Finding the Fourth Proportional to 292,079.40, 438,069.42 and 81,668.40

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Solution

The fourth proportional to 292,079.40, 438,069.42 and 81,668.40 is: 122,488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,079.40 : 438,069.42 = 81,668.40 : x
  2. Step 2: Convert to fraction form
    292,079.40/438,069.42 = 81,668.40/x
  3. Step 3: Cross multiply
    292,079.40x = 438,069.42 × 81,668.40
  4. Step 4: Simplify right side
    292,079.40x = 35,776,428,620.33
  5. Step 5: Solve for x
    x = 35,776,428,620.33/292,079.40
  6. Step 6: Final answer
    x = 122,488.71

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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.