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Finding the Fourth Proportional to 56,751.75, 78,279.89 and 35,494.11

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Solution

The fourth proportional to 56,751.75, 78,279.89 and 35,494.11 is: 48,958.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,751.75 : 78,279.89 = 35,494.11 : x
  2. Step 2: Convert to fraction form
    56,751.75/78,279.89 = 35,494.11/x
  3. Step 3: Cross multiply
    56,751.75x = 78,279.89 × 35,494.11
  4. Step 4: Simplify right side
    56,751.75x = 2,778,475,115.18
  5. Step 5: Solve for x
    x = 2,778,475,115.18/56,751.75
  6. Step 6: Final answer
    x = 48,958.40

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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.