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Finding the Fourth Proportional to 201,151.16, 301,431.49 and 101,173.82

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Solution

The fourth proportional to 201,151.16, 301,431.49 and 101,173.82 is: 151,612.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,151.16 : 301,431.49 = 101,173.82 : x
  2. Step 2: Convert to fraction form
    201,151.16/301,431.49 = 101,173.82/x
  3. Step 3: Cross multiply
    201,151.16x = 301,431.49 × 101,173.82
  4. Step 4: Simplify right side
    201,151.16x = 30,496,974,805.72
  5. Step 5: Solve for x
    x = 30,496,974,805.72/201,151.16
  6. Step 6: Final answer
    x = 151,612.22

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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.