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Finding the Fourth Proportional to 61,221, 91,827.18 and 30,045

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Solution

The fourth proportional to 61,221, 91,827.18 and 30,045 is: 45,065.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,221 : 91,827.18 = 30,045 : x
  2. Step 2: Convert to fraction form
    61,221/91,827.18 = 30,045/x
  3. Step 3: Cross multiply
    61,221x = 91,827.18 × 30,045
  4. Step 4: Simplify right side
    61,221x = 2,758,947,623.10
  5. Step 5: Solve for x
    x = 2,758,947,623.10/61,221
  6. Step 6: Final answer
    x = 45,065.38

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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.