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Finding the Fourth Proportional to 61,782, 92,673.81 and 20,229

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Solution

The fourth proportional to 61,782, 92,673.81 and 20,229 is: 30,343.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,782 : 92,673.81 = 20,229 : x
  2. Step 2: Convert to fraction form
    61,782/92,673.81 = 20,229/x
  3. Step 3: Cross multiply
    61,782x = 92,673.81 × 20,229
  4. Step 4: Simplify right side
    61,782x = 1,874,698,502.49
  5. Step 5: Solve for x
    x = 1,874,698,502.49/61,782
  6. Step 6: Final answer
    x = 30,343.77

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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.