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Finding the Fourth Proportional to 81,953.16, 122,888.56 and 47,769.92

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Solution

The fourth proportional to 81,953.16, 122,888.56 and 47,769.92 is: 71,630.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,953.16 : 122,888.56 = 47,769.92 : x
  2. Step 2: Convert to fraction form
    81,953.16/122,888.56 = 47,769.92/x
  3. Step 3: Cross multiply
    81,953.16x = 122,888.56 × 47,769.92
  4. Step 4: Simplify right side
    81,953.16x = 5,870,376,680.12
  5. Step 5: Solve for x
    x = 5,870,376,680.12/81,953.16
  6. Step 6: Final answer
    x = 71,630.88

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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.