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Finding the Fourth Proportional to 206,530.64, 285,007.80 and 115,885.04

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Solution

The fourth proportional to 206,530.64, 285,007.80 and 115,885.04 is: 159,918.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,530.64 : 285,007.80 = 115,885.04 : x
  2. Step 2: Convert to fraction form
    206,530.64/285,007.80 = 115,885.04/x
  3. Step 3: Cross multiply
    206,530.64x = 285,007.80 × 115,885.04
  4. Step 4: Simplify right side
    206,530.64x = 33,028,140,303.31
  5. Step 5: Solve for x
    x = 33,028,140,303.31/206,530.64
  6. Step 6: Final answer
    x = 159,918.84

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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.