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Finding the Fourth Proportional to 132,381.68, 182,713.31 and 78,656.37

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Solution

The fourth proportional to 132,381.68, 182,713.31 and 78,656.37 is: 108,561.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,381.68 : 182,713.31 = 78,656.37 : x
  2. Step 2: Convert to fraction form
    132,381.68/182,713.31 = 78,656.37/x
  3. Step 3: Cross multiply
    132,381.68x = 182,713.31 × 78,656.37
  4. Step 4: Simplify right side
    132,381.68x = 14,371,566,302.14
  5. Step 5: Solve for x
    x = 14,371,566,302.14/132,381.68
  6. Step 6: Final answer
    x = 108,561.59

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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.