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Finding the Fourth Proportional to 70,503, 105,757.38 and 17,913.84

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Solution

The fourth proportional to 70,503, 105,757.38 and 17,913.84 is: 26,871.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,503 : 105,757.38 = 17,913.84 : x
  2. Step 2: Convert to fraction form
    70,503/105,757.38 = 17,913.84/x
  3. Step 3: Cross multiply
    70,503x = 105,757.38 × 17,913.84
  4. Step 4: Simplify right side
    70,503x = 1,894,520,784.14
  5. Step 5: Solve for x
    x = 1,894,520,784.14/70,503
  6. Step 6: Final answer
    x = 26,871.49

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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.