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Finding the Fourth Proportional to 51,641.78, 71,132.88 and 36,508.40

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Solution

The fourth proportional to 51,641.78, 71,132.88 and 36,508.40 is: 50,287.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,641.78 : 71,132.88 = 36,508.40 : x
  2. Step 2: Convert to fraction form
    51,641.78/71,132.88 = 36,508.40/x
  3. Step 3: Cross multiply
    51,641.78x = 71,132.88 × 36,508.40
  4. Step 4: Simplify right side
    51,641.78x = 2,596,947,636.19
  5. Step 5: Solve for x
    x = 2,596,947,636.19/51,641.78
  6. Step 6: Final answer
    x = 50,287.73

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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.