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Finding the Fourth Proportional to 61,143.70, 91,742.89 and 21,729.10

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Solution

The fourth proportional to 61,143.70, 91,742.89 and 21,729.10 is: 32,603.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,143.70 : 91,742.89 = 21,729.10 : x
  2. Step 2: Convert to fraction form
    61,143.70/91,742.89 = 21,729.10/x
  3. Step 3: Cross multiply
    61,143.70x = 91,742.89 × 21,729.10
  4. Step 4: Simplify right side
    61,143.70x = 1,993,490,376.78
  5. Step 5: Solve for x
    x = 1,993,490,376.78/61,143.70
  6. Step 6: Final answer
    x = 32,603.37

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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.