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Finding the Fourth Proportional to 47,716.40, 71,574.60 and 12,659.60

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Solution

The fourth proportional to 47,716.40, 71,574.60 and 12,659.60 is: 18,989.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,716.40 : 71,574.60 = 12,659.60 : x
  2. Step 2: Convert to fraction form
    47,716.40/71,574.60 = 12,659.60/x
  3. Step 3: Cross multiply
    47,716.40x = 71,574.60 × 12,659.60
  4. Step 4: Simplify right side
    47,716.40x = 906,105,806.16
  5. Step 5: Solve for x
    x = 906,105,806.16/47,716.40
  6. Step 6: Final answer
    x = 18,989.40

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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.