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Finding the Fourth Proportional to 76,139.52, 114,208.80 and 20,735.52

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Solution

The fourth proportional to 76,139.52, 114,208.80 and 20,735.52 is: 31,103.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,139.52 : 114,208.80 = 20,735.52 : x
  2. Step 2: Convert to fraction form
    76,139.52/114,208.80 = 20,735.52/x
  3. Step 3: Cross multiply
    76,139.52x = 114,208.80 × 20,735.52
  4. Step 4: Simplify right side
    76,139.52x = 2,368,178,856.58
  5. Step 5: Solve for x
    x = 2,368,178,856.58/76,139.52
  6. Step 6: Final answer
    x = 31,103.15

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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.