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Finding the Fourth Proportional to 266,646, 367,971.36 and 145,787.88

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Solution

The fourth proportional to 266,646, 367,971.36 and 145,787.88 is: 201,187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,646 : 367,971.36 = 145,787.88 : x
  2. Step 2: Convert to fraction form
    266,646/367,971.36 = 145,787.88/x
  3. Step 3: Cross multiply
    266,646x = 367,971.36 × 145,787.88
  4. Step 4: Simplify right side
    266,646x = 53,645,764,475.12
  5. Step 5: Solve for x
    x = 53,645,764,475.12/266,646
  6. Step 6: Final answer
    x = 201,187.21

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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.