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Finding the Fourth Proportional to 78,872.75, 108,846.97 and 43,065.48

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Solution

The fourth proportional to 78,872.75, 108,846.97 and 43,065.48 is: 59,431.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,872.75 : 108,846.97 = 43,065.48 : x
  2. Step 2: Convert to fraction form
    78,872.75/108,846.97 = 43,065.48/x
  3. Step 3: Cross multiply
    78,872.75x = 108,846.97 × 43,065.48
  4. Step 4: Simplify right side
    78,872.75x = 4,687,547,009.60
  5. Step 5: Solve for x
    x = 4,687,547,009.60/78,872.75
  6. Step 6: Final answer
    x = 59,431.77

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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.