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Finding the Fourth Proportional to 220,987.68, 304,965 and 120,385.68

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Solution

The fourth proportional to 220,987.68, 304,965 and 120,385.68 is: 166,133.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,987.68 : 304,965 = 120,385.68 : x
  2. Step 2: Convert to fraction form
    220,987.68/304,965 = 120,385.68/x
  3. Step 3: Cross multiply
    220,987.68x = 304,965 × 120,385.68
  4. Step 4: Simplify right side
    220,987.68x = 36,713,418,901.20
  5. Step 5: Solve for x
    x = 36,713,418,901.20/220,987.68
  6. Step 6: Final answer
    x = 166,133.33

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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.