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Finding the Fourth Proportional to 206,873.60, 310,310.40 and 192,111.36

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Solution

The fourth proportional to 206,873.60, 310,310.40 and 192,111.36 is: 288,167.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,873.60 : 310,310.40 = 192,111.36 : x
  2. Step 2: Convert to fraction form
    206,873.60/310,310.40 = 192,111.36/x
  3. Step 3: Cross multiply
    206,873.60x = 310,310.40 × 192,111.36
  4. Step 4: Simplify right side
    206,873.60x = 59,614,152,966.14
  5. Step 5: Solve for x
    x = 59,614,152,966.14/206,873.60
  6. Step 6: Final answer
    x = 288,167.04

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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.