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Finding the Fourth Proportional to 70,209.99, 105,294.20 and 20,290.55

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Solution

The fourth proportional to 70,209.99, 105,294.20 and 20,290.55 is: 30,429.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,209.99 : 105,294.20 = 20,290.55 : x
  2. Step 2: Convert to fraction form
    70,209.99/105,294.20 = 20,290.55/x
  3. Step 3: Cross multiply
    70,209.99x = 105,294.20 × 20,290.55
  4. Step 4: Simplify right side
    70,209.99x = 2,136,476,601.89
  5. Step 5: Solve for x
    x = 2,136,476,601.89/70,209.99
  6. Step 6: Final answer
    x = 30,429.81

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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.