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Finding the Fourth Proportional to 78,534, 108,376.92 and 43,206

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Solution

The fourth proportional to 78,534, 108,376.92 and 43,206 is: 59,624.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,534 : 108,376.92 = 43,206 : x
  2. Step 2: Convert to fraction form
    78,534/108,376.92 = 43,206/x
  3. Step 3: Cross multiply
    78,534x = 108,376.92 × 43,206
  4. Step 4: Simplify right side
    78,534x = 4,682,533,205.52
  5. Step 5: Solve for x
    x = 4,682,533,205.52/78,534
  6. Step 6: Final answer
    x = 59,624.28

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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.