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Finding the Fourth Proportional to 71,903.84, 107,856 and 21,983.74

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Solution

The fourth proportional to 71,903.84, 107,856 and 21,983.74 is: 32,975.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,903.84 : 107,856 = 21,983.74 : x
  2. Step 2: Convert to fraction form
    71,903.84/107,856 = 21,983.74/x
  3. Step 3: Cross multiply
    71,903.84x = 107,856 × 21,983.74
  4. Step 4: Simplify right side
    71,903.84x = 2,371,078,261.44
  5. Step 5: Solve for x
    x = 2,371,078,261.44/71,903.84
  6. Step 6: Final answer
    x = 32,975.68

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1.5x scale

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.