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Finding the Fourth Proportional to 72,677.58, 108,969.12 and 34,711.26

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Solution

The fourth proportional to 72,677.58, 108,969.12 and 34,711.26 is: 52,044.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,677.58 : 108,969.12 = 34,711.26 : x
  2. Step 2: Convert to fraction form
    72,677.58/108,969.12 = 34,711.26/x
  3. Step 3: Cross multiply
    72,677.58x = 108,969.12 × 34,711.26
  4. Step 4: Simplify right side
    72,677.58x = 3,782,455,456.29
  5. Step 5: Solve for x
    x = 3,782,455,456.29/72,677.58
  6. Step 6: Final answer
    x = 52,044.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.