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Finding the Fourth Proportional to 71,330.40, 106,997.54 and 21,410.49

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Solution

The fourth proportional to 71,330.40, 106,997.54 and 21,410.49 is: 32,116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,330.40 : 106,997.54 = 21,410.49 : x
  2. Step 2: Convert to fraction form
    71,330.40/106,997.54 = 21,410.49/x
  3. Step 3: Cross multiply
    71,330.40x = 106,997.54 × 21,410.49
  4. Step 4: Simplify right side
    71,330.40x = 2,290,869,760.19
  5. Step 5: Solve for x
    x = 2,290,869,760.19/71,330.40
  6. Step 6: Final answer
    x = 32,116.32

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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.