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Finding the Fourth Proportional to 78,854.96, 108,819.09 and 48,628.19

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Solution

The fourth proportional to 78,854.96, 108,819.09 and 48,628.19 is: 67,106.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,854.96 : 108,819.09 = 48,628.19 : x
  2. Step 2: Convert to fraction form
    78,854.96/108,819.09 = 48,628.19/x
  3. Step 3: Cross multiply
    78,854.96x = 108,819.09 × 48,628.19
  4. Step 4: Simplify right side
    78,854.96x = 5,291,675,656.19
  5. Step 5: Solve for x
    x = 5,291,675,656.19/78,854.96
  6. Step 6: Final answer
    x = 67,106.44

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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.