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Finding the Fourth Proportional to 70,169.81, 105,329.63 and 30,208.57

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Solution

The fourth proportional to 70,169.81, 105,329.63 and 30,208.57 is: 45,345.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,169.81 : 105,329.63 = 30,208.57 : x
  2. Step 2: Convert to fraction form
    70,169.81/105,329.63 = 30,208.57/x
  3. Step 3: Cross multiply
    70,169.81x = 105,329.63 × 30,208.57
  4. Step 4: Simplify right side
    70,169.81x = 3,181,856,823.24
  5. Step 5: Solve for x
    x = 3,181,856,823.24/70,169.81
  6. Step 6: Final answer
    x = 45,345.10

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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.