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Finding the Fourth Proportional to 78,956.56, 108,982.02 and 48,746.80

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Solution

The fourth proportional to 78,956.56, 108,982.02 and 48,746.80 is: 67,284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,956.56 : 108,982.02 = 48,746.80 : x
  2. Step 2: Convert to fraction form
    78,956.56/108,982.02 = 48,746.80/x
  3. Step 3: Cross multiply
    78,956.56x = 108,982.02 × 48,746.80
  4. Step 4: Simplify right side
    78,956.56x = 5,312,524,732.54
  5. Step 5: Solve for x
    x = 5,312,524,732.54/78,956.56
  6. Step 6: Final answer
    x = 67,284.15

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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.