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Finding the Fourth Proportional to 200,530.13, 300,825.44 and 86,709.08

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Solution

The fourth proportional to 200,530.13, 300,825.44 and 86,709.08 is: 130,076.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,530.13 : 300,825.44 = 86,709.08 : x
  2. Step 2: Convert to fraction form
    200,530.13/300,825.44 = 86,709.08/x
  3. Step 3: Cross multiply
    200,530.13x = 300,825.44 × 86,709.08
  4. Step 4: Simplify right side
    200,530.13x = 26,084,297,143.00
  5. Step 5: Solve for x
    x = 26,084,297,143.00/200,530.13
  6. Step 6: Final answer
    x = 130,076.70

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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.