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Finding the Fourth Proportional to 206,975.27, 310,203.20 and 88,507.31

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Solution

The fourth proportional to 206,975.27, 310,203.20 and 88,507.31 is: 132,649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,975.27 : 310,203.20 = 88,507.31 : x
  2. Step 2: Convert to fraction form
    206,975.27/310,203.20 = 88,507.31/x
  3. Step 3: Cross multiply
    206,975.27x = 310,203.20 × 88,507.31
  4. Step 4: Simplify right side
    206,975.27x = 27,455,249,455.64
  5. Step 5: Solve for x
    x = 27,455,249,455.64/206,975.27
  6. Step 6: Final answer
    x = 132,649.90

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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.