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Finding the Fourth Proportional to 70,909.25, 106,354.35 and 20,994.62

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Solution

The fourth proportional to 70,909.25, 106,354.35 and 20,994.62 is: 31,489.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,909.25 : 106,354.35 = 20,994.62 : x
  2. Step 2: Convert to fraction form
    70,909.25/106,354.35 = 20,994.62/x
  3. Step 3: Cross multiply
    70,909.25x = 106,354.35 × 20,994.62
  4. Step 4: Simplify right side
    70,909.25x = 2,232,868,631.83
  5. Step 5: Solve for x
    x = 2,232,868,631.83/70,909.25
  6. Step 6: Final answer
    x = 31,489.10

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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.