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Finding the Fourth Proportional to 78,991.68, 109,071.36 and 48,820.80

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Solution

The fourth proportional to 78,991.68, 109,071.36 and 48,820.80 is: 67,411.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,991.68 : 109,071.36 = 48,820.80 : x
  2. Step 2: Convert to fraction form
    78,991.68/109,071.36 = 48,820.80/x
  3. Step 3: Cross multiply
    78,991.68x = 109,071.36 × 48,820.80
  4. Step 4: Simplify right side
    78,991.68x = 5,324,951,052.29
  5. Step 5: Solve for x
    x = 5,324,951,052.29/78,991.68
  6. Step 6: Final answer
    x = 67,411.54

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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.