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Finding the Fourth Proportional to 70,115.40, 105,140.70 and 30,652.20

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Solution

The fourth proportional to 70,115.40, 105,140.70 and 30,652.20 is: 45,964.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,115.40 : 105,140.70 = 30,652.20 : x
  2. Step 2: Convert to fraction form
    70,115.40/105,140.70 = 30,652.20/x
  3. Step 3: Cross multiply
    70,115.40x = 105,140.70 × 30,652.20
  4. Step 4: Simplify right side
    70,115.40x = 3,222,793,764.54
  5. Step 5: Solve for x
    x = 3,222,793,764.54/70,115.40
  6. Step 6: Final answer
    x = 45,964.14

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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.