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Finding the Fourth Proportional to 61,323, 91,984.42 and 25,791

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Solution

The fourth proportional to 61,323, 91,984.42 and 25,791 is: 38,686.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,323 : 91,984.42 = 25,791 : x
  2. Step 2: Convert to fraction form
    61,323/91,984.42 = 25,791/x
  3. Step 3: Cross multiply
    61,323x = 91,984.42 × 25,791
  4. Step 4: Simplify right side
    61,323x = 2,372,370,176.22
  5. Step 5: Solve for x
    x = 2,372,370,176.22/61,323
  6. Step 6: Final answer
    x = 38,686.47

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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.