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Finding the Fourth Proportional to 75,708.64, 104,478 and 43,883.68

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Solution

The fourth proportional to 75,708.64, 104,478 and 43,883.68 is: 60,559.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,708.64 : 104,478 = 43,883.68 : x
  2. Step 2: Convert to fraction form
    75,708.64/104,478 = 43,883.68/x
  3. Step 3: Cross multiply
    75,708.64x = 104,478 × 43,883.68
  4. Step 4: Simplify right side
    75,708.64x = 4,584,879,119.04
  5. Step 5: Solve for x
    x = 4,584,879,119.04/75,708.64
  6. Step 6: Final answer
    x = 60,559.52

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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.