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Finding the Fourth Proportional to 67,250.71, 100,838.40 and 31,188.50

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Solution

The fourth proportional to 67,250.71, 100,838.40 and 31,188.50 is: 46,765.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,250.71 : 100,838.40 = 31,188.50 : x
  2. Step 2: Convert to fraction form
    67,250.71/100,838.40 = 31,188.50/x
  3. Step 3: Cross multiply
    67,250.71x = 100,838.40 × 31,188.50
  4. Step 4: Simplify right side
    67,250.71x = 3,144,998,438.40
  5. Step 5: Solve for x
    x = 3,144,998,438.40/67,250.71
  6. Step 6: Final answer
    x = 46,765.28

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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.