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Finding the Fourth Proportional to 71,113.40, 106,718.70 and 51,408.80

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Solution

The fourth proportional to 71,113.40, 106,718.70 and 51,408.80 is: 77,148.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,113.40 : 106,718.70 = 51,408.80 : x
  2. Step 2: Convert to fraction form
    71,113.40/106,718.70 = 51,408.80/x
  3. Step 3: Cross multiply
    71,113.40x = 106,718.70 × 51,408.80
  4. Step 4: Simplify right side
    71,113.40x = 5,486,280,304.56
  5. Step 5: Solve for x
    x = 5,486,280,304.56/71,113.40
  6. Step 6: Final answer
    x = 77,148.33

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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.