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Finding the Fourth Proportional to 132,378.56, 182,709 and 78,653.25

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Solution

The fourth proportional to 132,378.56, 182,709 and 78,653.25 is: 108,557.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,378.56 : 182,709 = 78,653.25 : x
  2. Step 2: Convert to fraction form
    132,378.56/182,709 = 78,653.25/x
  3. Step 3: Cross multiply
    132,378.56x = 182,709 × 78,653.25
  4. Step 4: Simplify right side
    132,378.56x = 14,370,656,654.25
  5. Step 5: Solve for x
    x = 14,370,656,654.25/132,378.56
  6. Step 6: Final answer
    x = 108,557.28

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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.