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Finding the Fourth Proportional to 61,965.21, 92,943 and 19,849.67

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Solution

The fourth proportional to 61,965.21, 92,943 and 19,849.67 is: 29,772.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,965.21 : 92,943 = 19,849.67 : x
  2. Step 2: Convert to fraction form
    61,965.21/92,943 = 19,849.67/x
  3. Step 3: Cross multiply
    61,965.21x = 92,943 × 19,849.67
  4. Step 4: Simplify right side
    61,965.21x = 1,844,887,414.10
  5. Step 5: Solve for x
    x = 1,844,887,414.10/61,965.21
  6. Step 6: Final answer
    x = 29,772.96

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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.