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Finding the Fourth Proportional to 83,838.50, 115,690.11 and 49,377.77

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Solution

The fourth proportional to 83,838.50, 115,690.11 and 49,377.77 is: 68,137.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,838.50 : 115,690.11 = 49,377.77 : x
  2. Step 2: Convert to fraction form
    83,838.50/115,690.11 = 49,377.77/x
  3. Step 3: Cross multiply
    83,838.50x = 115,690.11 × 49,377.77
  4. Step 4: Simplify right side
    83,838.50x = 5,712,519,642.85
  5. Step 5: Solve for x
    x = 5,712,519,642.85/83,838.50
  6. Step 6: Final answer
    x = 68,137.19

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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.