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Finding the Fourth Proportional to 220,759.83, 304,651.75 and 123,984.63

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Solution

The fourth proportional to 220,759.83, 304,651.75 and 123,984.63 is: 171,100.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,759.83 : 304,651.75 = 123,984.63 : x
  2. Step 2: Convert to fraction form
    220,759.83/304,651.75 = 123,984.63/x
  3. Step 3: Cross multiply
    220,759.83x = 304,651.75 × 123,984.63
  4. Step 4: Simplify right side
    220,759.83x = 37,772,134,502.60
  5. Step 5: Solve for x
    x = 37,772,134,502.60/220,759.83
  6. Step 6: Final answer
    x = 171,100.58

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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.