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Finding the Fourth Proportional to 61,197.76, 91,778.28 and 21,749.68

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Solution

The fourth proportional to 61,197.76, 91,778.28 and 21,749.68 is: 32,617.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,197.76 : 91,778.28 = 21,749.68 : x
  2. Step 2: Convert to fraction form
    61,197.76/91,778.28 = 21,749.68/x
  3. Step 3: Cross multiply
    61,197.76x = 91,778.28 × 21,749.68
  4. Step 4: Simplify right side
    61,197.76x = 1,996,148,220.95
  5. Step 5: Solve for x
    x = 1,996,148,220.95/61,197.76
  6. Step 6: Final answer
    x = 32,617.99

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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.