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Finding the Fourth Proportional to 205,215.80, 307,305.30 and 134,713.40

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Solution

The fourth proportional to 205,215.80, 307,305.30 and 134,713.40 is: 201,729.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,215.80 : 307,305.30 = 134,713.40 : x
  2. Step 2: Convert to fraction form
    205,215.80/307,305.30 = 134,713.40/x
  3. Step 3: Cross multiply
    205,215.80x = 307,305.30 × 134,713.40
  4. Step 4: Simplify right side
    205,215.80x = 41,398,141,801.02
  5. Step 5: Solve for x
    x = 41,398,141,801.02/205,215.80
  6. Step 6: Final answer
    x = 201,729.80

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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.