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Finding the Fourth Proportional to 40,871.70, 61,346.70 and 21,164.40

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Solution

The fourth proportional to 40,871.70, 61,346.70 and 21,164.40 is: 31,766.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,871.70 : 61,346.70 = 21,164.40 : x
  2. Step 2: Convert to fraction form
    40,871.70/61,346.70 = 21,164.40/x
  3. Step 3: Cross multiply
    40,871.70x = 61,346.70 × 21,164.40
  4. Step 4: Simplify right side
    40,871.70x = 1,298,366,097.48
  5. Step 5: Solve for x
    x = 1,298,366,097.48/40,871.70
  6. Step 6: Final answer
    x = 31,766.87

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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.