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Finding the Fourth Proportional to 61,140.52, 91,633.02 and 27,878.68

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Solution

The fourth proportional to 61,140.52, 91,633.02 and 27,878.68 is: 41,782.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,140.52 : 91,633.02 = 27,878.68 : x
  2. Step 2: Convert to fraction form
    61,140.52/91,633.02 = 27,878.68/x
  3. Step 3: Cross multiply
    61,140.52x = 91,633.02 × 27,878.68
  4. Step 4: Simplify right side
    61,140.52x = 2,554,607,642.01
  5. Step 5: Solve for x
    x = 2,554,607,642.01/61,140.52
  6. Step 6: Final answer
    x = 41,782.56

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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.