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Finding the Fourth Proportional to 70,816.89, 106,290.96 and 35,781.15

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Solution

The fourth proportional to 70,816.89, 106,290.96 and 35,781.15 is: 53,704.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,816.89 : 106,290.96 = 35,781.15 : x
  2. Step 2: Convert to fraction form
    70,816.89/106,290.96 = 35,781.15/x
  3. Step 3: Cross multiply
    70,816.89x = 106,290.96 × 35,781.15
  4. Step 4: Simplify right side
    70,816.89x = 3,803,212,783.40
  5. Step 5: Solve for x
    x = 3,803,212,783.40/70,816.89
  6. Step 6: Final answer
    x = 53,704.88

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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.