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Finding the Fourth Proportional to 70,102.84, 105,138.52 and 20,171.80

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Solution

The fourth proportional to 70,102.84, 105,138.52 and 20,171.80 is: 30,253.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,102.84 : 105,138.52 = 20,171.80 : x
  2. Step 2: Convert to fraction form
    70,102.84/105,138.52 = 20,171.80/x
  3. Step 3: Cross multiply
    70,102.84x = 105,138.52 × 20,171.80
  4. Step 4: Simplify right side
    70,102.84x = 2,120,833,197.74
  5. Step 5: Solve for x
    x = 2,120,833,197.74/70,102.84
  6. Step 6: Final answer
    x = 30,253.17

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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.