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Finding the Fourth Proportional to 230,137.80, 345,240.72 and 117,881.52

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Solution

The fourth proportional to 230,137.80, 345,240.72 and 117,881.52 is: 176,839.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,137.80 : 345,240.72 = 117,881.52 : x
  2. Step 2: Convert to fraction form
    230,137.80/345,240.72 = 117,881.52/x
  3. Step 3: Cross multiply
    230,137.80x = 345,240.72 × 117,881.52
  4. Step 4: Simplify right side
    230,137.80x = 40,697,500,839.49
  5. Step 5: Solve for x
    x = 40,697,500,839.49/230,137.80
  6. Step 6: Final answer
    x = 176,839.71

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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.