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Finding the Fourth Proportional to 201,798.50, 301,950.42 and 126,317.30

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Solution

The fourth proportional to 201,798.50, 301,950.42 and 126,317.30 is: 189,008.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,798.50 : 301,950.42 = 126,317.30 : x
  2. Step 2: Convert to fraction form
    201,798.50/301,950.42 = 126,317.30/x
  3. Step 3: Cross multiply
    201,798.50x = 301,950.42 × 126,317.30
  4. Step 4: Simplify right side
    201,798.50x = 38,141,561,788.27
  5. Step 5: Solve for x
    x = 38,141,561,788.27/201,798.50
  6. Step 6: Final answer
    x = 189,008.15

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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.