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Finding the Fourth Proportional to 70,039.20, 105,022.32 and 25,664.16

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Solution

The fourth proportional to 70,039.20, 105,022.32 and 25,664.16 is: 38,482.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,039.20 : 105,022.32 = 25,664.16 : x
  2. Step 2: Convert to fraction form
    70,039.20/105,022.32 = 25,664.16/x
  3. Step 3: Cross multiply
    70,039.20x = 105,022.32 × 25,664.16
  4. Step 4: Simplify right side
    70,039.20x = 2,695,309,624.05
  5. Step 5: Solve for x
    x = 2,695,309,624.05/70,039.20
  6. Step 6: Final answer
    x = 38,482.87

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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.