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Finding the Fourth Proportional to 125,763.40, 188,645.10 and 66,714.40

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Solution

The fourth proportional to 125,763.40, 188,645.10 and 66,714.40 is: 100,071.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,763.40 : 188,645.10 = 66,714.40 : x
  2. Step 2: Convert to fraction form
    125,763.40/188,645.10 = 66,714.40/x
  3. Step 3: Cross multiply
    125,763.40x = 188,645.10 × 66,714.40
  4. Step 4: Simplify right side
    125,763.40x = 12,585,344,659.44
  5. Step 5: Solve for x
    x = 12,585,344,659.44/125,763.40
  6. Step 6: Final answer
    x = 100,071.60

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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.