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Finding the Fourth Proportional to 121,680, 182,554.56 and 38,576.16

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Solution

The fourth proportional to 121,680, 182,554.56 and 38,576.16 is: 57,875.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,680 : 182,554.56 = 38,576.16 : x
  2. Step 2: Convert to fraction form
    121,680/182,554.56 = 38,576.16/x
  3. Step 3: Cross multiply
    121,680x = 182,554.56 × 38,576.16
  4. Step 4: Simplify right side
    121,680x = 7,042,253,915.29
  5. Step 5: Solve for x
    x = 7,042,253,915.29/121,680
  6. Step 6: Final answer
    x = 57,875.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.