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Finding the Fourth Proportional to 205,047.51, 282,965.84 and 120,164.50

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Solution

The fourth proportional to 205,047.51, 282,965.84 and 120,164.50 is: 165,827.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,047.51 : 282,965.84 = 120,164.50 : x
  2. Step 2: Convert to fraction form
    205,047.51/282,965.84 = 120,164.50/x
  3. Step 3: Cross multiply
    205,047.51x = 282,965.84 × 120,164.50
  4. Step 4: Simplify right side
    205,047.51x = 34,002,448,680.68
  5. Step 5: Solve for x
    x = 34,002,448,680.68/205,047.51
  6. Step 6: Final answer
    x = 165,827.17

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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.