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Finding the Fourth Proportional to 205,065.81, 283,010.37 and 124,474.86

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Solution

The fourth proportional to 205,065.81, 283,010.37 and 124,474.86 is: 171,787.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,065.81 : 283,010.37 = 124,474.86 : x
  2. Step 2: Convert to fraction form
    205,065.81/283,010.37 = 124,474.86/x
  3. Step 3: Cross multiply
    205,065.81x = 283,010.37 × 124,474.86
  4. Step 4: Simplify right side
    205,065.81x = 35,227,676,184.30
  5. Step 5: Solve for x
    x = 35,227,676,184.30/205,065.81
  6. Step 6: Final answer
    x = 171,787.17

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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.