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Finding the Fourth Proportional to 70,419.93, 105,647.20 and 20,500.46

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Solution

The fourth proportional to 70,419.93, 105,647.20 and 20,500.46 is: 30,755.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,419.93 : 105,647.20 = 20,500.46 : x
  2. Step 2: Convert to fraction form
    70,419.93/105,647.20 = 20,500.46/x
  3. Step 3: Cross multiply
    70,419.93x = 105,647.20 × 20,500.46
  4. Step 4: Simplify right side
    70,419.93x = 2,165,816,197.71
  5. Step 5: Solve for x
    x = 2,165,816,197.71/70,419.93
  6. Step 6: Final answer
    x = 30,755.73

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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.