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Finding the Fourth Proportional to 130,638, 195,957.96 and 32,142

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Solution

The fourth proportional to 130,638, 195,957.96 and 32,142 is: 48,213.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,638 : 195,957.96 = 32,142 : x
  2. Step 2: Convert to fraction form
    130,638/195,957.96 = 32,142/x
  3. Step 3: Cross multiply
    130,638x = 195,957.96 × 32,142
  4. Step 4: Simplify right side
    130,638x = 6,298,480,750.32
  5. Step 5: Solve for x
    x = 6,298,480,750.32/130,638
  6. Step 6: Final answer
    x = 48,213.24

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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.