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Finding the Fourth Proportional to 258,164.28, 356,282.52 and 144,987

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Solution

The fourth proportional to 258,164.28, 356,282.52 and 144,987 is: 200,090.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,164.28 : 356,282.52 = 144,987 : x
  2. Step 2: Convert to fraction form
    258,164.28/356,282.52 = 144,987/x
  3. Step 3: Cross multiply
    258,164.28x = 356,282.52 × 144,987
  4. Step 4: Simplify right side
    258,164.28x = 51,656,333,727.24
  5. Step 5: Solve for x
    x = 51,656,333,727.24/258,164.28
  6. Step 6: Final answer
    x = 200,090.94

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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.