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Finding the Fourth Proportional to 76,684.50, 115,026.78 and 21,280.50

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Solution

The fourth proportional to 76,684.50, 115,026.78 and 21,280.50 is: 31,920.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,684.50 : 115,026.78 = 21,280.50 : x
  2. Step 2: Convert to fraction form
    76,684.50/115,026.78 = 21,280.50/x
  3. Step 3: Cross multiply
    76,684.50x = 115,026.78 × 21,280.50
  4. Step 4: Simplify right side
    76,684.50x = 2,447,827,391.79
  5. Step 5: Solve for x
    x = 2,447,827,391.79/76,684.50
  6. Step 6: Final answer
    x = 31,920.76

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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.