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Finding the Fourth Proportional to 132,382.19, 182,714 and 78,656.88

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Solution

The fourth proportional to 132,382.19, 182,714 and 78,656.88 is: 108,562.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,382.19 : 182,714 = 78,656.88 : x
  2. Step 2: Convert to fraction form
    132,382.19/182,714 = 78,656.88/x
  3. Step 3: Cross multiply
    132,382.19x = 182,714 × 78,656.88
  4. Step 4: Simplify right side
    132,382.19x = 14,371,712,258.75
  5. Step 5: Solve for x
    x = 14,371,712,258.75/132,382.19
  6. Step 6: Final answer
    x = 108,562.28

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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.