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Finding the Fourth Proportional to 78,293.44, 107,999.76 and 49,967.20

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Solution

The fourth proportional to 78,293.44, 107,999.76 and 49,967.20 is: 68,925.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,293.44 : 107,999.76 = 49,967.20 : x
  2. Step 2: Convert to fraction form
    78,293.44/107,999.76 = 49,967.20/x
  3. Step 3: Cross multiply
    78,293.44x = 107,999.76 × 49,967.20
  4. Step 4: Simplify right side
    78,293.44x = 5,396,445,607.87
  5. Step 5: Solve for x
    x = 5,396,445,607.87/78,293.44
  6. Step 6: Final answer
    x = 68,925.90

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1.5x scale

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.