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Finding the Fourth Proportional to 86,042.10, 129,034.04 and 32,721.41

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Solution

The fourth proportional to 86,042.10, 129,034.04 and 32,721.41 is: 49,071.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,042.10 : 129,034.04 = 32,721.41 : x
  2. Step 2: Convert to fraction form
    86,042.10/129,034.04 = 32,721.41/x
  3. Step 3: Cross multiply
    86,042.10x = 129,034.04 × 32,721.41
  4. Step 4: Simplify right side
    86,042.10x = 4,222,176,094.14
  5. Step 5: Solve for x
    x = 4,222,176,094.14/86,042.10
  6. Step 6: Final answer
    x = 49,071.05

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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.