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Finding the Fourth Proportional to 78,524.52, 108,317.70 and 49,406.60

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Solution

The fourth proportional to 78,524.52, 108,317.70 and 49,406.60 is: 68,152.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,524.52 : 108,317.70 = 49,406.60 : x
  2. Step 2: Convert to fraction form
    78,524.52/108,317.70 = 49,406.60/x
  3. Step 3: Cross multiply
    78,524.52x = 108,317.70 × 49,406.60
  4. Step 4: Simplify right side
    78,524.52x = 5,351,609,276.82
  5. Step 5: Solve for x
    x = 5,351,609,276.82/78,524.52
  6. Step 6: Final answer
    x = 68,152.08

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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.