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Finding the Fourth Proportional to 206,912, 310,368 and 59,179.52

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Solution

The fourth proportional to 206,912, 310,368 and 59,179.52 is: 88,769.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,912 : 310,368 = 59,179.52 : x
  2. Step 2: Convert to fraction form
    206,912/310,368 = 59,179.52/x
  3. Step 3: Cross multiply
    206,912x = 310,368 × 59,179.52
  4. Step 4: Simplify right side
    206,912x = 18,367,429,263.36
  5. Step 5: Solve for x
    x = 18,367,429,263.36/206,912
  6. Step 6: Final answer
    x = 88,769.28

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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.