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Finding the Fourth Proportional to 78,855.96, 108,820.47 and 48,629.19

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Solution

The fourth proportional to 78,855.96, 108,820.47 and 48,629.19 is: 67,107.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,855.96 : 108,820.47 = 48,629.19 : x
  2. Step 2: Convert to fraction form
    78,855.96/108,820.47 = 48,629.19/x
  3. Step 3: Cross multiply
    78,855.96x = 108,820.47 × 48,629.19
  4. Step 4: Simplify right side
    78,855.96x = 5,291,851,311.52
  5. Step 5: Solve for x
    x = 5,291,851,311.52/78,855.96
  6. Step 6: Final answer
    x = 67,107.82

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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.