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Finding the Fourth Proportional to 140,408.54, 193,763.88 and 76,746.34

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Solution

The fourth proportional to 140,408.54, 193,763.88 and 76,746.34 is: 105,910.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,408.54 : 193,763.88 = 76,746.34 : x
  2. Step 2: Convert to fraction form
    140,408.54/193,763.88 = 76,746.34/x
  3. Step 3: Cross multiply
    140,408.54x = 193,763.88 × 76,746.34
  4. Step 4: Simplify right side
    140,408.54x = 14,870,668,614.20
  5. Step 5: Solve for x
    x = 14,870,668,614.20/140,408.54
  6. Step 6: Final answer
    x = 105,910.00

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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.