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Finding the Fourth Proportional to 70,947.92, 106,444.68 and 21,028.40

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Solution

The fourth proportional to 70,947.92, 106,444.68 and 21,028.40 is: 31,549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,947.92 : 106,444.68 = 21,028.40 : x
  2. Step 2: Convert to fraction form
    70,947.92/106,444.68 = 21,028.40/x
  3. Step 3: Cross multiply
    70,947.92x = 106,444.68 × 21,028.40
  4. Step 4: Simplify right side
    70,947.92x = 2,238,361,308.91
  5. Step 5: Solve for x
    x = 2,238,361,308.91/70,947.92
  6. Step 6: Final answer
    x = 31,549.36

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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.