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Finding the Fourth Proportional to 77,224, 106,568.40 and 43,690

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Solution

The fourth proportional to 77,224, 106,568.40 and 43,690 is: 60,291.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,224 : 106,568.40 = 43,690 : x
  2. Step 2: Convert to fraction form
    77,224/106,568.40 = 43,690/x
  3. Step 3: Cross multiply
    77,224x = 106,568.40 × 43,690
  4. Step 4: Simplify right side
    77,224x = 4,655,973,396
  5. Step 5: Solve for x
    x = 4,655,973,396/77,224
  6. Step 6: Final answer
    x = 60,291.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.