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Finding the Fourth Proportional to 78,846, 108,811.92 and 45,314.16

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Solution

The fourth proportional to 78,846, 108,811.92 and 45,314.16 is: 62,536.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,846 : 108,811.92 = 45,314.16 : x
  2. Step 2: Convert to fraction form
    78,846/108,811.92 = 45,314.16/x
  3. Step 3: Cross multiply
    78,846x = 108,811.92 × 45,314.16
  4. Step 4: Simplify right side
    78,846x = 4,930,720,752.79
  5. Step 5: Solve for x
    x = 4,930,720,752.79/78,846
  6. Step 6: Final answer
    x = 62,536.09

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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.