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Finding the Fourth Proportional to 132,644, 183,204.24 and 87,854.24

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Solution

The fourth proportional to 132,644, 183,204.24 and 87,854.24 is: 121,341.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,644 : 183,204.24 = 87,854.24 : x
  2. Step 2: Convert to fraction form
    132,644/183,204.24 = 87,854.24/x
  3. Step 3: Cross multiply
    132,644x = 183,204.24 × 87,854.24
  4. Step 4: Simplify right side
    132,644x = 16,095,269,269.98
  5. Step 5: Solve for x
    x = 16,095,269,269.98/132,644
  6. Step 6: Final answer
    x = 121,341.86

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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.