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Finding the Fourth Proportional to 32,940.80, 49,411.20 and 18,142.10

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Solution

The fourth proportional to 32,940.80, 49,411.20 and 18,142.10 is: 27,213.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,940.80 : 49,411.20 = 18,142.10 : x
  2. Step 2: Convert to fraction form
    32,940.80/49,411.20 = 18,142.10/x
  3. Step 3: Cross multiply
    32,940.80x = 49,411.20 × 18,142.10
  4. Step 4: Simplify right side
    32,940.80x = 896,422,931.52
  5. Step 5: Solve for x
    x = 896,422,931.52/32,940.80
  6. Step 6: Final answer
    x = 27,213.15

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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.