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Finding the Fourth Proportional to 55,972.68, 77,241.96 and 30,822

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Solution

The fourth proportional to 55,972.68, 77,241.96 and 30,822 is: 42,534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,972.68 : 77,241.96 = 30,822 : x
  2. Step 2: Convert to fraction form
    55,972.68/77,241.96 = 30,822/x
  3. Step 3: Cross multiply
    55,972.68x = 77,241.96 × 30,822
  4. Step 4: Simplify right side
    55,972.68x = 2,380,751,691.12
  5. Step 5: Solve for x
    x = 2,380,751,691.12/55,972.68
  6. Step 6: Final answer
    x = 42,534.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.