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Finding the Fourth Proportional to 201,499.19, 301,999.66 and 101,687.93

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Solution

The fourth proportional to 201,499.19, 301,999.66 and 101,687.93 is: 152,406.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,499.19 : 301,999.66 = 101,687.93 : x
  2. Step 2: Convert to fraction form
    201,499.19/301,999.66 = 101,687.93/x
  3. Step 3: Cross multiply
    201,499.19x = 301,999.66 × 101,687.93
  4. Step 4: Simplify right side
    201,499.19x = 30,709,720,786.88
  5. Step 5: Solve for x
    x = 30,709,720,786.88/201,499.19
  6. Step 6: Final answer
    x = 152,406.17

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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.