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Finding the Fourth Proportional to 129,164, 178,319.40 and 83,882.48

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Solution

The fourth proportional to 129,164, 178,319.40 and 83,882.48 is: 115,805.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,164 : 178,319.40 = 83,882.48 : x
  2. Step 2: Convert to fraction form
    129,164/178,319.40 = 83,882.48/x
  3. Step 3: Cross multiply
    129,164x = 178,319.40 × 83,882.48
  4. Step 4: Simplify right side
    129,164x = 14,957,873,504.11
  5. Step 5: Solve for x
    x = 14,957,873,504.11/129,164
  6. Step 6: Final answer
    x = 115,805.28

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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.