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Finding the Fourth Proportional to 61,152.73, 91,742.87 and 21,709.78

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Solution

The fourth proportional to 61,152.73, 91,742.87 and 21,709.78 is: 32,569.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,152.73 : 91,742.87 = 21,709.78 : x
  2. Step 2: Convert to fraction form
    61,152.73/91,742.87 = 21,709.78/x
  3. Step 3: Cross multiply
    61,152.73x = 91,742.87 × 21,709.78
  4. Step 4: Simplify right side
    61,152.73x = 1,991,717,415.72
  5. Step 5: Solve for x
    x = 1,991,717,415.72/61,152.73
  6. Step 6: Final answer
    x = 32,569.56

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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.