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Finding the Fourth Proportional to 70,876.40, 106,314.60 and 21,628.40

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Solution

The fourth proportional to 70,876.40, 106,314.60 and 21,628.40 is: 32,442.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,876.40 : 106,314.60 = 21,628.40 : x
  2. Step 2: Convert to fraction form
    70,876.40/106,314.60 = 21,628.40/x
  3. Step 3: Cross multiply
    70,876.40x = 106,314.60 × 21,628.40
  4. Step 4: Simplify right side
    70,876.40x = 2,299,414,694.64
  5. Step 5: Solve for x
    x = 2,299,414,694.64/70,876.40
  6. Step 6: Final answer
    x = 32,442.60

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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.