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Finding the Fourth Proportional to 132,379.10, 182,654.19 and 78,681.98

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Solution

The fourth proportional to 132,379.10, 182,654.19 and 78,681.98 is: 108,563.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,379.10 : 182,654.19 = 78,681.98 : x
  2. Step 2: Convert to fraction form
    132,379.10/182,654.19 = 78,681.98/x
  3. Step 3: Cross multiply
    132,379.10x = 182,654.19 × 78,681.98
  4. Step 4: Simplify right side
    132,379.10x = 14,371,593,324.50
  5. Step 5: Solve for x
    x = 14,371,593,324.50/132,379.10
  6. Step 6: Final answer
    x = 108,563.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.