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Finding the Fourth Proportional to 70,074.05, 105,095.30 and 20,143.01

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Solution

The fourth proportional to 70,074.05, 105,095.30 and 20,143.01 is: 30,209.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,074.05 : 105,095.30 = 20,143.01 : x
  2. Step 2: Convert to fraction form
    70,074.05/105,095.30 = 20,143.01/x
  3. Step 3: Cross multiply
    70,074.05x = 105,095.30 × 20,143.01
  4. Step 4: Simplify right side
    70,074.05x = 2,116,935,052.66
  5. Step 5: Solve for x
    x = 2,116,935,052.66/70,074.05
  6. Step 6: Final answer
    x = 30,209.97

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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.