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Finding the Fourth Proportional to 76,308.87, 105,358.40 and 47,672.13

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Solution

The fourth proportional to 76,308.87, 105,358.40 and 47,672.13 is: 65,820.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,308.87 : 105,358.40 = 47,672.13 : x
  2. Step 2: Convert to fraction form
    76,308.87/105,358.40 = 47,672.13/x
  3. Step 3: Cross multiply
    76,308.87x = 105,358.40 × 47,672.13
  4. Step 4: Simplify right side
    76,308.87x = 5,022,659,103.03
  5. Step 5: Solve for x
    x = 5,022,659,103.03/76,308.87
  6. Step 6: Final answer
    x = 65,820.12

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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.