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Finding the Fourth Proportional to 106,328.88, 159,524.51 and 31,451

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Solution

The fourth proportional to 106,328.88, 159,524.51 and 31,451 is: 47,185.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,328.88 : 159,524.51 = 31,451 : x
  2. Step 2: Convert to fraction form
    106,328.88/159,524.51 = 31,451/x
  3. Step 3: Cross multiply
    106,328.88x = 159,524.51 × 31,451
  4. Step 4: Simplify right side
    106,328.88x = 5,017,205,364.01
  5. Step 5: Solve for x
    x = 5,017,205,364.01/106,328.88
  6. Step 6: Final answer
    x = 47,185.73

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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.