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Finding the Fourth Proportional to 70,217.84, 105,326.96 and 20,302

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Solution

The fourth proportional to 70,217.84, 105,326.96 and 20,302 is: 30,453.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,217.84 : 105,326.96 = 20,302 : x
  2. Step 2: Convert to fraction form
    70,217.84/105,326.96 = 20,302/x
  3. Step 3: Cross multiply
    70,217.84x = 105,326.96 × 20,302
  4. Step 4: Simplify right side
    70,217.84x = 2,138,347,941.92
  5. Step 5: Solve for x
    x = 2,138,347,941.92/70,217.84
  6. Step 6: Final answer
    x = 30,453.06

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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.