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Finding the Fourth Proportional to 230,235.65, 345,408.77 and 88,078.60

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Solution

The fourth proportional to 230,235.65, 345,408.77 and 88,078.60 is: 132,139.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,235.65 : 345,408.77 = 88,078.60 : x
  2. Step 2: Convert to fraction form
    230,235.65/345,408.77 = 88,078.60/x
  3. Step 3: Cross multiply
    230,235.65x = 345,408.77 × 88,078.60
  4. Step 4: Simplify right side
    230,235.65x = 30,423,120,246.00
  5. Step 5: Solve for x
    x = 30,423,120,246.00/230,235.65
  6. Step 6: Final answer
    x = 132,139.05

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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.