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Finding the Fourth Proportional to 81,930.78, 122,925.78 and 28,630.65

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Solution

The fourth proportional to 81,930.78, 122,925.78 and 28,630.65 is: 42,956.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,930.78 : 122,925.78 = 28,630.65 : x
  2. Step 2: Convert to fraction form
    81,930.78/122,925.78 = 28,630.65/x
  3. Step 3: Cross multiply
    81,930.78x = 122,925.78 × 28,630.65
  4. Step 4: Simplify right side
    81,930.78x = 3,519,444,983.16
  5. Step 5: Solve for x
    x = 3,519,444,983.16/81,930.78
  6. Step 6: Final answer
    x = 42,956.32

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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.