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Finding the Fourth Proportional to 61,297.28, 91,946.16 and 21,855.84

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Solution

The fourth proportional to 61,297.28, 91,946.16 and 21,855.84 is: 32,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,297.28 : 91,946.16 = 21,855.84 : x
  2. Step 2: Convert to fraction form
    61,297.28/91,946.16 = 21,855.84/x
  3. Step 3: Cross multiply
    61,297.28x = 91,946.16 × 21,855.84
  4. Step 4: Simplify right side
    61,297.28x = 2,009,560,561.57
  5. Step 5: Solve for x
    x = 2,009,560,561.57/61,297.28
  6. Step 6: Final answer
    x = 32,783.85

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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.