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Finding the Fourth Proportional to 255,399.06, 352,450.81 and 142,221.81

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Solution

The fourth proportional to 255,399.06, 352,450.81 and 142,221.81 is: 196,266.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,399.06 : 352,450.81 = 142,221.81 : x
  2. Step 2: Convert to fraction form
    255,399.06/352,450.81 = 142,221.81/x
  3. Step 3: Cross multiply
    255,399.06x = 352,450.81 × 142,221.81
  4. Step 4: Simplify right side
    255,399.06x = 50,126,192,134.17
  5. Step 5: Solve for x
    x = 50,126,192,134.17/255,399.06
  6. Step 6: Final answer
    x = 196,266.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.