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Finding the Fourth Proportional to 61,904.78, 92,830.11 and 21,910.47

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Solution

The fourth proportional to 61,904.78, 92,830.11 and 21,910.47 is: 32,856.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,904.78 : 92,830.11 = 21,910.47 : x
  2. Step 2: Convert to fraction form
    61,904.78/92,830.11 = 21,910.47/x
  3. Step 3: Cross multiply
    61,904.78x = 92,830.11 × 21,910.47
  4. Step 4: Simplify right side
    61,904.78x = 2,033,951,340.25
  5. Step 5: Solve for x
    x = 2,033,951,340.25/61,904.78
  6. Step 6: Final answer
    x = 32,856.13

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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.