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Finding the Fourth Proportional to 70,301.56, 105,378.90 and 30,825.40

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Solution

The fourth proportional to 70,301.56, 105,378.90 and 30,825.40 is: 46,205.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,301.56 : 105,378.90 = 30,825.40 : x
  2. Step 2: Convert to fraction form
    70,301.56/105,378.90 = 30,825.40/x
  3. Step 3: Cross multiply
    70,301.56x = 105,378.90 × 30,825.40
  4. Step 4: Simplify right side
    70,301.56x = 3,248,346,744.06
  5. Step 5: Solve for x
    x = 3,248,346,744.06/70,301.56
  6. Step 6: Final answer
    x = 46,205.90

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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.