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Finding the Fourth Proportional to 132,564, 182,877.80 and 78,818.42

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Solution

The fourth proportional to 132,564, 182,877.80 and 78,818.42 is: 108,733.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,564 : 182,877.80 = 78,818.42 : x
  2. Step 2: Convert to fraction form
    132,564/182,877.80 = 78,818.42/x
  3. Step 3: Cross multiply
    132,564x = 182,877.80 × 78,818.42
  4. Step 4: Simplify right side
    132,564x = 14,414,139,249.08
  5. Step 5: Solve for x
    x = 14,414,139,249.08/132,564
  6. Step 6: Final answer
    x = 108,733.44

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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.