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Finding the Fourth Proportional to 78,852.12, 108,815.88 and 43,042.13

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Solution

The fourth proportional to 78,852.12, 108,815.88 and 43,042.13 is: 59,398.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,852.12 : 108,815.88 = 43,042.13 : x
  2. Step 2: Convert to fraction form
    78,852.12/108,815.88 = 43,042.13/x
  3. Step 3: Cross multiply
    78,852.12x = 108,815.88 × 43,042.13
  4. Step 4: Simplify right side
    78,852.12x = 4,683,667,278.41
  5. Step 5: Solve for x
    x = 4,683,667,278.41/78,852.12
  6. Step 6: Final answer
    x = 59,398.12

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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.