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Finding the Fourth Proportional to 201,947.20, 302,920.80 and 123,215.20

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Solution

The fourth proportional to 201,947.20, 302,920.80 and 123,215.20 is: 184,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,947.20 : 302,920.80 = 123,215.20 : x
  2. Step 2: Convert to fraction form
    201,947.20/302,920.80 = 123,215.20/x
  3. Step 3: Cross multiply
    201,947.20x = 302,920.80 × 123,215.20
  4. Step 4: Simplify right side
    201,947.20x = 37,324,446,956.16
  5. Step 5: Solve for x
    x = 37,324,446,956.16/201,947.20
  6. Step 6: Final answer
    x = 184,822.80

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1.5x scale

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.