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Finding the Fourth Proportional to 132,873.48, 199,358.82 and 61,830

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Solution

The fourth proportional to 132,873.48, 199,358.82 and 61,830 is: 92,767.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,873.48 : 199,358.82 = 61,830 : x
  2. Step 2: Convert to fraction form
    132,873.48/199,358.82 = 61,830/x
  3. Step 3: Cross multiply
    132,873.48x = 199,358.82 × 61,830
  4. Step 4: Simplify right side
    132,873.48x = 12,326,355,840.60
  5. Step 5: Solve for x
    x = 12,326,355,840.60/132,873.48
  6. Step 6: Final answer
    x = 92,767.62

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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.