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Finding the Fourth Proportional to 71,330.49, 106,995.47 and 21,410.37

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Solution

The fourth proportional to 71,330.49, 106,995.47 and 21,410.37 is: 32,115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,330.49 : 106,995.47 = 21,410.37 : x
  2. Step 2: Convert to fraction form
    71,330.49/106,995.47 = 21,410.37/x
  3. Step 3: Cross multiply
    71,330.49x = 106,995.47 × 21,410.37
  4. Step 4: Simplify right side
    71,330.49x = 2,290,812,066.05
  5. Step 5: Solve for x
    x = 2,290,812,066.05/71,330.49
  6. Step 6: Final answer
    x = 32,115.47

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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.