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Finding the Fourth Proportional to 131,048, 180,846.36 and 71,432

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Solution

The fourth proportional to 131,048, 180,846.36 and 71,432 is: 98,576.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,048 : 180,846.36 = 71,432 : x
  2. Step 2: Convert to fraction form
    131,048/180,846.36 = 71,432/x
  3. Step 3: Cross multiply
    131,048x = 180,846.36 × 71,432
  4. Step 4: Simplify right side
    131,048x = 12,918,217,187.52
  5. Step 5: Solve for x
    x = 12,918,217,187.52/131,048
  6. Step 6: Final answer
    x = 98,576.23

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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.