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Finding the Fourth Proportional to 201,430.83, 302,403.15 and 125,645.88

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Solution

The fourth proportional to 201,430.83, 302,403.15 and 125,645.88 is: 188,629.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,430.83 : 302,403.15 = 125,645.88 : x
  2. Step 2: Convert to fraction form
    201,430.83/302,403.15 = 125,645.88/x
  3. Step 3: Cross multiply
    201,430.83x = 302,403.15 × 125,645.88
  4. Step 4: Simplify right side
    201,430.83x = 37,995,709,896.52
  5. Step 5: Solve for x
    x = 37,995,709,896.52/201,430.83
  6. Step 6: Final answer
    x = 188,629.07

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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.