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Finding the Fourth Proportional to 76,810.78, 115,235.61 and 21,406.78

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Solution

The fourth proportional to 76,810.78, 115,235.61 and 21,406.78 is: 32,115.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,810.78 : 115,235.61 = 21,406.78 : x
  2. Step 2: Convert to fraction form
    76,810.78/115,235.61 = 21,406.78/x
  3. Step 3: Cross multiply
    76,810.78x = 115,235.61 × 21,406.78
  4. Step 4: Simplify right side
    76,810.78x = 2,466,823,535.62
  5. Step 5: Solve for x
    x = 2,466,823,535.62/76,810.78
  6. Step 6: Final answer
    x = 32,115.59

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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.