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Finding the Fourth Proportional to 180,208.84, 269,963.34 and 86,780.20

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Solution

The fourth proportional to 180,208.84, 269,963.34 and 86,780.20 is: 130,001.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,208.84 : 269,963.34 = 86,780.20 : x
  2. Step 2: Convert to fraction form
    180,208.84/269,963.34 = 86,780.20/x
  3. Step 3: Cross multiply
    180,208.84x = 269,963.34 × 86,780.20
  4. Step 4: Simplify right side
    180,208.84x = 23,427,472,637.87
  5. Step 5: Solve for x
    x = 23,427,472,637.87/180,208.84
  6. Step 6: Final answer
    x = 130,001.79

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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.