Home / 205,215.36-283,182.60-120,316

Finding the Fourth Proportional to 205,215.36, 283,182.60 and 120,316

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Solution

The fourth proportional to 205,215.36, 283,182.60 and 120,316 is: 166,027.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,215.36 : 283,182.60 = 120,316 : x
  2. Step 2: Convert to fraction form
    205,215.36/283,182.60 = 120,316/x
  3. Step 3: Cross multiply
    205,215.36x = 283,182.60 × 120,316
  4. Step 4: Simplify right side
    205,215.36x = 34,071,397,701.60
  5. Step 5: Solve for x
    x = 34,071,397,701.60/205,215.36
  6. Step 6: Final answer
    x = 166,027.52

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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.