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Finding the Fourth Proportional to 47,981, 71,954.16 and 20,281.16

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Solution

The fourth proportional to 47,981, 71,954.16 and 20,281.16 is: 30,414.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,981 : 71,954.16 = 20,281.16 : x
  2. Step 2: Convert to fraction form
    47,981/71,954.16 = 20,281.16/x
  3. Step 3: Cross multiply
    47,981x = 71,954.16 × 20,281.16
  4. Step 4: Simplify right side
    47,981x = 1,459,313,831.63
  5. Step 5: Solve for x
    x = 1,459,313,831.63/47,981
  6. Step 6: Final answer
    x = 30,414.41

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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.