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Finding the Fourth Proportional to 45,930.40, 68,780.40 and 30,263.20

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Solution

The fourth proportional to 45,930.40, 68,780.40 and 30,263.20 is: 45,318.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,930.40 : 68,780.40 = 30,263.20 : x
  2. Step 2: Convert to fraction form
    45,930.40/68,780.40 = 30,263.20/x
  3. Step 3: Cross multiply
    45,930.40x = 68,780.40 × 30,263.20
  4. Step 4: Simplify right side
    45,930.40x = 2,081,515,001.28
  5. Step 5: Solve for x
    x = 2,081,515,001.28/45,930.40
  6. Step 6: Final answer
    x = 45,318.90

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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.