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Finding the Fourth Proportional to 202,101.80, 278,954.25 and 119,388.23

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Solution

The fourth proportional to 202,101.80, 278,954.25 and 119,388.23 is: 164,787.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,101.80 : 278,954.25 = 119,388.23 : x
  2. Step 2: Convert to fraction form
    202,101.80/278,954.25 = 119,388.23/x
  3. Step 3: Cross multiply
    202,101.80x = 278,954.25 × 119,388.23
  4. Step 4: Simplify right side
    202,101.80x = 33,303,854,158.48
  5. Step 5: Solve for x
    x = 33,303,854,158.48/202,101.80
  6. Step 6: Final answer
    x = 164,787.52

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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.