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Finding the Fourth Proportional to 75,279.92, 103,886.84 and 51,405.96

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Solution

The fourth proportional to 75,279.92, 103,886.84 and 51,405.96 is: 70,940.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,279.92 : 103,886.84 = 51,405.96 : x
  2. Step 2: Convert to fraction form
    75,279.92/103,886.84 = 51,405.96/x
  3. Step 3: Cross multiply
    75,279.92x = 103,886.84 × 51,405.96
  4. Step 4: Simplify right side
    75,279.92x = 5,340,402,741.57
  5. Step 5: Solve for x
    x = 5,340,402,741.57/75,279.92
  6. Step 6: Final answer
    x = 70,940.60

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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.