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Finding the Fourth Proportional to 205,635.84, 283,747.28 and 120,780.24

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Solution

The fourth proportional to 205,635.84, 283,747.28 and 120,780.24 is: 166,659.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,635.84 : 283,747.28 = 120,780.24 : x
  2. Step 2: Convert to fraction form
    205,635.84/283,747.28 = 120,780.24/x
  3. Step 3: Cross multiply
    205,635.84x = 283,747.28 × 120,780.24
  4. Step 4: Simplify right side
    205,635.84x = 34,271,064,577.75
  5. Step 5: Solve for x
    x = 34,271,064,577.75/205,635.84
  6. Step 6: Final answer
    x = 166,659.01

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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.