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Finding the Fourth Proportional to 61,856.84, 92,786.97 and 21,870.17

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Solution

The fourth proportional to 61,856.84, 92,786.97 and 21,870.17 is: 32,805.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,856.84 : 92,786.97 = 21,870.17 : x
  2. Step 2: Convert to fraction form
    61,856.84/92,786.97 = 21,870.17/x
  3. Step 3: Cross multiply
    61,856.84x = 92,786.97 × 21,870.17
  4. Step 4: Simplify right side
    61,856.84x = 2,029,266,343.75
  5. Step 5: Solve for x
    x = 2,029,266,343.75/61,856.84
  6. Step 6: Final answer
    x = 32,805.85

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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.