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Finding the Fourth Proportional to 105,426.70, 145,512.20 and 72,766.97

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Solution

The fourth proportional to 105,426.70, 145,512.20 and 72,766.97 is: 100,434.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,426.70 : 145,512.20 = 72,766.97 : x
  2. Step 2: Convert to fraction form
    105,426.70/145,512.20 = 72,766.97/x
  3. Step 3: Cross multiply
    105,426.70x = 145,512.20 × 72,766.97
  4. Step 4: Simplify right side
    105,426.70x = 10,588,481,073.49
  5. Step 5: Solve for x
    x = 10,588,481,073.49/105,426.70
  6. Step 6: Final answer
    x = 100,434.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.