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Finding the Fourth Proportional to 61,020, 91,519.20 and 27,732.24

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Solution

The fourth proportional to 61,020, 91,519.20 and 27,732.24 is: 41,593.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,020 : 91,519.20 = 27,732.24 : x
  2. Step 2: Convert to fraction form
    61,020/91,519.20 = 27,732.24/x
  3. Step 3: Cross multiply
    61,020x = 91,519.20 × 27,732.24
  4. Step 4: Simplify right side
    61,020x = 2,538,032,419.01
  5. Step 5: Solve for x
    x = 2,538,032,419.01/61,020
  6. Step 6: Final answer
    x = 41,593.45

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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.