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Finding the Fourth Proportional to 201,313.17, 277,817.55 and 109,438.65

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Solution

The fourth proportional to 201,313.17, 277,817.55 and 109,438.65 is: 151,028.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,313.17 : 277,817.55 = 109,438.65 : x
  2. Step 2: Convert to fraction form
    201,313.17/277,817.55 = 109,438.65/x
  3. Step 3: Cross multiply
    201,313.17x = 277,817.55 × 109,438.65
  4. Step 4: Simplify right side
    201,313.17x = 30,403,977,207.91
  5. Step 5: Solve for x
    x = 30,403,977,207.91/201,313.17
  6. Step 6: Final answer
    x = 151,028.26

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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.