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Finding the Fourth Proportional to 55,151.97, 82,717.35 and 21,417.97

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Solution

The fourth proportional to 55,151.97, 82,717.35 and 21,417.97 is: 32,122.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,151.97 : 82,717.35 = 21,417.97 : x
  2. Step 2: Convert to fraction form
    55,151.97/82,717.35 = 21,417.97/x
  3. Step 3: Cross multiply
    55,151.97x = 82,717.35 × 21,417.97
  4. Step 4: Simplify right side
    55,151.97x = 1,771,637,720.78
  5. Step 5: Solve for x
    x = 1,771,637,720.78/55,151.97
  6. Step 6: Final answer
    x = 32,122.84

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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.