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Finding the Fourth Proportional to 61,761, 92,641.50 and 20,208

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Solution

The fourth proportional to 61,761, 92,641.50 and 20,208 is: 30,312

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,761 : 92,641.50 = 20,208 : x
  2. Step 2: Convert to fraction form
    61,761/92,641.50 = 20,208/x
  3. Step 3: Cross multiply
    61,761x = 92,641.50 × 20,208
  4. Step 4: Simplify right side
    61,761x = 1,872,099,432
  5. Step 5: Solve for x
    x = 1,872,099,432/61,761
  6. Step 6: Final answer
    x = 30,312

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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.