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Finding the Fourth Proportional to 200,090.14, 299,802 and 140,801.20

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Solution

The fourth proportional to 200,090.14, 299,802 and 140,801.20 is: 210,967.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,090.14 : 299,802 = 140,801.20 : x
  2. Step 2: Convert to fraction form
    200,090.14/299,802 = 140,801.20/x
  3. Step 3: Cross multiply
    200,090.14x = 299,802 × 140,801.20
  4. Step 4: Simplify right side
    200,090.14x = 42,212,481,362.40
  5. Step 5: Solve for x
    x = 42,212,481,362.40/200,090.14
  6. Step 6: Final answer
    x = 210,967.32

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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.