Home / 205,197.84-283,158.59-120,298.50

Finding the Fourth Proportional to 205,197.84, 283,158.59 and 120,298.50

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Solution

The fourth proportional to 205,197.84, 283,158.59 and 120,298.50 is: 166,003.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,197.84 : 283,158.59 = 120,298.50 : x
  2. Step 2: Convert to fraction form
    205,197.84/283,158.59 = 120,298.50/x
  3. Step 3: Cross multiply
    205,197.84x = 283,158.59 × 120,298.50
  4. Step 4: Simplify right side
    205,197.84x = 34,063,553,037.62
  5. Step 5: Solve for x
    x = 34,063,553,037.62/205,197.84
  6. Step 6: Final answer
    x = 166,003.47

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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.