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Finding the Fourth Proportional to 76,517.28, 114,782.52 and 21,113.28

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Solution

The fourth proportional to 76,517.28, 114,782.52 and 21,113.28 is: 31,671.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,517.28 : 114,782.52 = 21,113.28 : x
  2. Step 2: Convert to fraction form
    76,517.28/114,782.52 = 21,113.28/x
  3. Step 3: Cross multiply
    76,517.28x = 114,782.52 × 21,113.28
  4. Step 4: Simplify right side
    76,517.28x = 2,423,435,483.87
  5. Step 5: Solve for x
    x = 2,423,435,483.87/76,517.28
  6. Step 6: Final answer
    x = 31,671.74

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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.