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Finding the Fourth Proportional to 130,638, 195,947.48 and 58,613.21

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Solution

The fourth proportional to 130,638, 195,947.48 and 58,613.21 is: 87,915.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,638 : 195,947.48 = 58,613.21 : x
  2. Step 2: Convert to fraction form
    130,638/195,947.48 = 58,613.21/x
  3. Step 3: Cross multiply
    130,638x = 195,947.48 × 58,613.21
  4. Step 4: Simplify right side
    130,638x = 11,485,109,521.41
  5. Step 5: Solve for x
    x = 11,485,109,521.41/130,638
  6. Step 6: Final answer
    x = 87,915.53

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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.