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Finding the Fourth Proportional to 200,989.80, 301,203.18 and 151,038

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Solution

The fourth proportional to 200,989.80, 301,203.18 and 151,038 is: 226,345.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,989.80 : 301,203.18 = 151,038 : x
  2. Step 2: Convert to fraction form
    200,989.80/301,203.18 = 151,038/x
  3. Step 3: Cross multiply
    200,989.80x = 301,203.18 × 151,038
  4. Step 4: Simplify right side
    200,989.80x = 45,493,125,900.84
  5. Step 5: Solve for x
    x = 45,493,125,900.84/200,989.80
  6. Step 6: Final answer
    x = 226,345.45

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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.