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Finding the Fourth Proportional to 140,408.64, 193,763.52 and 76,746.24

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Solution

The fourth proportional to 140,408.64, 193,763.52 and 76,746.24 is: 105,909.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,408.64 : 193,763.52 = 76,746.24 : x
  2. Step 2: Convert to fraction form
    140,408.64/193,763.52 = 76,746.24/x
  3. Step 3: Cross multiply
    140,408.64x = 193,763.52 × 76,746.24
  4. Step 4: Simplify right side
    140,408.64x = 14,870,621,609.16
  5. Step 5: Solve for x
    x = 14,870,621,609.16/140,408.64
  6. Step 6: Final answer
    x = 105,909.59

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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.