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Finding the Fourth Proportional to 125,536.26, 188,304.12 and 78,821.94

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Solution

The fourth proportional to 125,536.26, 188,304.12 and 78,821.94 is: 118,232.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,536.26 : 188,304.12 = 78,821.94 : x
  2. Step 2: Convert to fraction form
    125,536.26/188,304.12 = 78,821.94/x
  3. Step 3: Cross multiply
    125,536.26x = 188,304.12 × 78,821.94
  4. Step 4: Simplify right side
    125,536.26x = 14,842,496,048.39
  5. Step 5: Solve for x
    x = 14,842,496,048.39/125,536.26
  6. Step 6: Final answer
    x = 118,232.74

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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.