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Finding the Fourth Proportional to 83,137.82, 124,706.72 and 49,816.15

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Solution

The fourth proportional to 83,137.82, 124,706.72 and 49,816.15 is: 74,724.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,137.82 : 124,706.72 = 49,816.15 : x
  2. Step 2: Convert to fraction form
    83,137.82/124,706.72 = 49,816.15/x
  3. Step 3: Cross multiply
    83,137.82x = 124,706.72 × 49,816.15
  4. Step 4: Simplify right side
    83,137.82x = 6,212,408,482.30
  5. Step 5: Solve for x
    x = 6,212,408,482.30/83,137.82
  6. Step 6: Final answer
    x = 74,724.22

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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.