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Finding the Fourth Proportional to 201,497.94, 301,997.78 and 101,686.68

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Solution

The fourth proportional to 201,497.94, 301,997.78 and 101,686.68 is: 152,404.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,497.94 : 301,997.78 = 101,686.68 : x
  2. Step 2: Convert to fraction form
    201,497.94/301,997.78 = 101,686.68/x
  3. Step 3: Cross multiply
    201,497.94x = 301,997.78 × 101,686.68
  4. Step 4: Simplify right side
    201,497.94x = 30,709,152,624.78
  5. Step 5: Solve for x
    x = 30,709,152,624.78/201,497.94
  6. Step 6: Final answer
    x = 152,404.30

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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.