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Finding the Fourth Proportional to 70,195.81, 105,255.16 and 34,578.76

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Solution

The fourth proportional to 70,195.81, 105,255.16 and 34,578.76 is: 51,849.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,195.81 : 105,255.16 = 34,578.76 : x
  2. Step 2: Convert to fraction form
    70,195.81/105,255.16 = 34,578.76/x
  3. Step 3: Cross multiply
    70,195.81x = 105,255.16 × 34,578.76
  4. Step 4: Simplify right side
    70,195.81x = 3,639,592,743.51
  5. Step 5: Solve for x
    x = 3,639,592,743.51/70,195.81
  6. Step 6: Final answer
    x = 51,849.15

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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.