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Finding the Fourth Proportional to 100,034.63, 138,046.04 and 54,711.62

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Solution

The fourth proportional to 100,034.63, 138,046.04 and 54,711.62 is: 75,501.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,034.63 : 138,046.04 = 54,711.62 : x
  2. Step 2: Convert to fraction form
    100,034.63/138,046.04 = 54,711.62/x
  3. Step 3: Cross multiply
    100,034.63x = 138,046.04 × 54,711.62
  4. Step 4: Simplify right side
    100,034.63x = 7,552,722,482.98
  5. Step 5: Solve for x
    x = 7,552,722,482.98/100,034.63
  6. Step 6: Final answer
    x = 75,501.08

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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.