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Finding the Fourth Proportional to 61,764, 92,646.81 and 20,211

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Solution

The fourth proportional to 61,764, 92,646.81 and 20,211 is: 30,316.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,764 : 92,646.81 = 20,211 : x
  2. Step 2: Convert to fraction form
    61,764/92,646.81 = 20,211/x
  3. Step 3: Cross multiply
    61,764x = 92,646.81 × 20,211
  4. Step 4: Simplify right side
    61,764x = 1,872,484,676.91
  5. Step 5: Solve for x
    x = 1,872,484,676.91/61,764
  6. Step 6: Final answer
    x = 30,316.77

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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.