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Finding the Fourth Proportional to 206,919, 310,378.50 and 59,175

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Solution

The fourth proportional to 206,919, 310,378.50 and 59,175 is: 88,762.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,919 : 310,378.50 = 59,175 : x
  2. Step 2: Convert to fraction form
    206,919/310,378.50 = 59,175/x
  3. Step 3: Cross multiply
    206,919x = 310,378.50 × 59,175
  4. Step 4: Simplify right side
    206,919x = 18,366,647,737.50
  5. Step 5: Solve for x
    x = 18,366,647,737.50/206,919
  6. Step 6: Final answer
    x = 88,762.50

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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.