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Finding the Fourth Proportional to 78,523.52, 108,316.32 and 49,405.60

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Solution

The fourth proportional to 78,523.52, 108,316.32 and 49,405.60 is: 68,150.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,523.52 : 108,316.32 = 49,405.60 : x
  2. Step 2: Convert to fraction form
    78,523.52/108,316.32 = 49,405.60/x
  3. Step 3: Cross multiply
    78,523.52x = 108,316.32 × 49,405.60
  4. Step 4: Simplify right side
    78,523.52x = 5,351,432,779.39
  5. Step 5: Solve for x
    x = 5,351,432,779.39/78,523.52
  6. Step 6: Final answer
    x = 68,150.70

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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.