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Finding the Fourth Proportional to 201,497.69, 301,997.41 and 101,686.43

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Solution

The fourth proportional to 201,497.69, 301,997.41 and 101,686.43 is: 152,403.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,497.69 : 301,997.41 = 101,686.43 : x
  2. Step 2: Convert to fraction form
    201,497.69/301,997.41 = 101,686.43/x
  3. Step 3: Cross multiply
    201,497.69x = 301,997.41 × 101,686.43
  4. Step 4: Simplify right side
    201,497.69x = 30,709,038,992.92
  5. Step 5: Solve for x
    x = 30,709,038,992.92/201,497.69
  6. Step 6: Final answer
    x = 152,403.92

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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.