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Finding the Fourth Proportional to 71,211, 106,834.74 and 26,838.12

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Solution

The fourth proportional to 71,211, 106,834.74 and 26,838.12 is: 40,264.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,211 : 106,834.74 = 26,838.12 : x
  2. Step 2: Convert to fraction form
    71,211/106,834.74 = 26,838.12/x
  3. Step 3: Cross multiply
    71,211x = 106,834.74 × 26,838.12
  4. Step 4: Simplify right side
    71,211x = 2,867,243,572.29
  5. Step 5: Solve for x
    x = 2,867,243,572.29/71,211
  6. Step 6: Final answer
    x = 40,264.05

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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.