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Finding the Fourth Proportional to 71,213.40, 106,733.70 and 31,728.60

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Solution

The fourth proportional to 71,213.40, 106,733.70 and 31,728.60 is: 47,554.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,213.40 : 106,733.70 = 31,728.60 : x
  2. Step 2: Convert to fraction form
    71,213.40/106,733.70 = 31,728.60/x
  3. Step 3: Cross multiply
    71,213.40x = 106,733.70 × 31,728.60
  4. Step 4: Simplify right side
    71,213.40x = 3,386,510,873.82
  5. Step 5: Solve for x
    x = 3,386,510,873.82/71,213.40
  6. Step 6: Final answer
    x = 47,554.41

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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.