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Finding the Fourth Proportional to 76,494.52, 105,600.81 and 47,830.12

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Solution

The fourth proportional to 76,494.52, 105,600.81 and 47,830.12 is: 66,029.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,494.52 : 105,600.81 = 47,830.12 : x
  2. Step 2: Convert to fraction form
    76,494.52/105,600.81 = 47,830.12/x
  3. Step 3: Cross multiply
    76,494.52x = 105,600.81 × 47,830.12
  4. Step 4: Simplify right side
    76,494.52x = 5,050,899,414.40
  5. Step 5: Solve for x
    x = 5,050,899,414.40/76,494.52
  6. Step 6: Final answer
    x = 66,029.56

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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.