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Finding the Fourth Proportional to 255,209.81, 382,832.33 and 86,661.36

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Solution

The fourth proportional to 255,209.81, 382,832.33 and 86,661.36 is: 129,998.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,209.81 : 382,832.33 = 86,661.36 : x
  2. Step 2: Convert to fraction form
    255,209.81/382,832.33 = 86,661.36/x
  3. Step 3: Cross multiply
    255,209.81x = 382,832.33 × 86,661.36
  4. Step 4: Simplify right side
    255,209.81x = 33,176,769,936.46
  5. Step 5: Solve for x
    x = 33,176,769,936.46/255,209.81
  6. Step 6: Final answer
    x = 129,998.02

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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.