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Finding the Fourth Proportional to 258,168.13, 356,305.43 and 144,990.88

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Solution

The fourth proportional to 258,168.13, 356,305.43 and 144,990.88 is: 200,106.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,168.13 : 356,305.43 = 144,990.88 : x
  2. Step 2: Convert to fraction form
    258,168.13/356,305.43 = 144,990.88/x
  3. Step 3: Cross multiply
    258,168.13x = 356,305.43 × 144,990.88
  4. Step 4: Simplify right side
    258,168.13x = 51,661,037,844.48
  5. Step 5: Solve for x
    x = 51,661,037,844.48/258,168.13
  6. Step 6: Final answer
    x = 200,106.18

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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.