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Finding the Fourth Proportional to 67,257.80, 100,883.04 and 20,507

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Solution

The fourth proportional to 67,257.80, 100,883.04 and 20,507 is: 30,759.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,257.80 : 100,883.04 = 20,507 : x
  2. Step 2: Convert to fraction form
    67,257.80/100,883.04 = 20,507/x
  3. Step 3: Cross multiply
    67,257.80x = 100,883.04 × 20,507
  4. Step 4: Simplify right side
    67,257.80x = 2,068,808,501.28
  5. Step 5: Solve for x
    x = 2,068,808,501.28/67,257.80
  6. Step 6: Final answer
    x = 30,759.38

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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.