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Finding the Fourth Proportional to 70,504.80, 105,729.76 and 35,420

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Solution

The fourth proportional to 70,504.80, 105,729.76 and 35,420 is: 53,116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,504.80 : 105,729.76 = 35,420 : x
  2. Step 2: Convert to fraction form
    70,504.80/105,729.76 = 35,420/x
  3. Step 3: Cross multiply
    70,504.80x = 105,729.76 × 35,420
  4. Step 4: Simplify right side
    70,504.80x = 3,744,948,099.20
  5. Step 5: Solve for x
    x = 3,744,948,099.20/70,504.80
  6. Step 6: Final answer
    x = 53,116.21

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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.