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Finding the Fourth Proportional to 78,290.66, 108,039.72 and 47,652.68

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Solution

The fourth proportional to 78,290.66, 108,039.72 and 47,652.68 is: 65,759.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,290.66 : 108,039.72 = 47,652.68 : x
  2. Step 2: Convert to fraction form
    78,290.66/108,039.72 = 47,652.68/x
  3. Step 3: Cross multiply
    78,290.66x = 108,039.72 × 47,652.68
  4. Step 4: Simplify right side
    78,290.66x = 5,148,382,204.45
  5. Step 5: Solve for x
    x = 5,148,382,204.45/78,290.66
  6. Step 6: Final answer
    x = 65,759.85

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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.