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Finding the Fourth Proportional to 56,381, 77,805.78 and 34,025

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Solution

The fourth proportional to 56,381, 77,805.78 and 34,025 is: 46,954.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,381 : 77,805.78 = 34,025 : x
  2. Step 2: Convert to fraction form
    56,381/77,805.78 = 34,025/x
  3. Step 3: Cross multiply
    56,381x = 77,805.78 × 34,025
  4. Step 4: Simplify right side
    56,381x = 2,647,341,664.50
  5. Step 5: Solve for x
    x = 2,647,341,664.50/56,381
  6. Step 6: Final answer
    x = 46,954.50

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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.