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Finding the Fourth Proportional to 225,781.84, 338,875.80 and 120,690.64

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Solution

The fourth proportional to 225,781.84, 338,875.80 and 120,690.64 is: 181,144.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,781.84 : 338,875.80 = 120,690.64 : x
  2. Step 2: Convert to fraction form
    225,781.84/338,875.80 = 120,690.64/x
  3. Step 3: Cross multiply
    225,781.84x = 338,875.80 × 120,690.64
  4. Step 4: Simplify right side
    225,781.84x = 40,899,137,182.51
  5. Step 5: Solve for x
    x = 40,899,137,182.51/225,781.84
  6. Step 6: Final answer
    x = 181,144.49

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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.