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Finding the Fourth Proportional to 65,719.46, 90,692.78 and 35,911.46

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Solution

The fourth proportional to 65,719.46, 90,692.78 and 35,911.46 is: 49,557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,719.46 : 90,692.78 = 35,911.46 : x
  2. Step 2: Convert to fraction form
    65,719.46/90,692.78 = 35,911.46/x
  3. Step 3: Cross multiply
    65,719.46x = 90,692.78 × 35,911.46
  4. Step 4: Simplify right side
    65,719.46x = 3,256,910,141.26
  5. Step 5: Solve for x
    x = 3,256,910,141.26/65,719.46
  6. Step 6: Final answer
    x = 49,557.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.