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Finding the Fourth Proportional to 54,930, 82,346.13 and 19,861.86

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Solution

The fourth proportional to 54,930, 82,346.13 and 19,861.86 is: 29,775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,930 : 82,346.13 = 19,861.86 : x
  2. Step 2: Convert to fraction form
    54,930/82,346.13 = 19,861.86/x
  3. Step 3: Cross multiply
    54,930x = 82,346.13 × 19,861.86
  4. Step 4: Simplify right side
    54,930x = 1,635,547,305.60
  5. Step 5: Solve for x
    x = 1,635,547,305.60/54,930
  6. Step 6: Final answer
    x = 29,775.12

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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.