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Finding the Fourth Proportional to 78,288.66, 108,036.96 and 47,650.68

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Solution

The fourth proportional to 78,288.66, 108,036.96 and 47,650.68 is: 65,757.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,288.66 : 108,036.96 = 47,650.68 : x
  2. Step 2: Convert to fraction form
    78,288.66/108,036.96 = 47,650.68/x
  3. Step 3: Cross multiply
    78,288.66x = 108,036.96 × 47,650.68
  4. Step 4: Simplify right side
    78,288.66x = 5,148,034,430.44
  5. Step 5: Solve for x
    x = 5,148,034,430.44/78,288.66
  6. Step 6: Final answer
    x = 65,757.09

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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.