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Finding the Fourth Proportional to 78,152.85, 107,821.80 and 51,310.26

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Solution

The fourth proportional to 78,152.85, 107,821.80 and 51,310.26 is: 70,789.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,152.85 : 107,821.80 = 51,310.26 : x
  2. Step 2: Convert to fraction form
    78,152.85/107,821.80 = 51,310.26/x
  3. Step 3: Cross multiply
    78,152.85x = 107,821.80 × 51,310.26
  4. Step 4: Simplify right side
    78,152.85x = 5,532,364,591.67
  5. Step 5: Solve for x
    x = 5,532,364,591.67/78,152.85
  6. Step 6: Final answer
    x = 70,789.03

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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.