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Finding the Fourth Proportional to 70,135.71, 105,205.68 and 22,749.51

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Solution

The fourth proportional to 70,135.71, 105,205.68 and 22,749.51 is: 34,124.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,135.71 : 105,205.68 = 22,749.51 : x
  2. Step 2: Convert to fraction form
    70,135.71/105,205.68 = 22,749.51/x
  3. Step 3: Cross multiply
    70,135.71x = 105,205.68 × 22,749.51
  4. Step 4: Simplify right side
    70,135.71x = 2,393,377,669.22
  5. Step 5: Solve for x
    x = 2,393,377,669.22/70,135.71
  6. Step 6: Final answer
    x = 34,124.95

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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.