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Finding the Fourth Proportional to 125,806.34, 188,714.74 and 40,425.86

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Solution

The fourth proportional to 125,806.34, 188,714.74 and 40,425.86 is: 60,640.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,806.34 : 188,714.74 = 40,425.86 : x
  2. Step 2: Convert to fraction form
    125,806.34/188,714.74 = 40,425.86/x
  3. Step 3: Cross multiply
    125,806.34x = 188,714.74 × 40,425.86
  4. Step 4: Simplify right side
    125,806.34x = 7,628,955,659.18
  5. Step 5: Solve for x
    x = 7,628,955,659.18/125,806.34
  6. Step 6: Final answer
    x = 60,640.47

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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.