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Finding the Fourth Proportional to 105,642.93, 158,107.19 and 102,799.83

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Solution

The fourth proportional to 105,642.93, 158,107.19 and 102,799.83 is: 153,852.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,642.93 : 158,107.19 = 102,799.83 : x
  2. Step 2: Convert to fraction form
    105,642.93/158,107.19 = 102,799.83/x
  3. Step 3: Cross multiply
    105,642.93x = 158,107.19 × 102,799.83
  4. Step 4: Simplify right side
    105,642.93x = 16,253,391,739.78
  5. Step 5: Solve for x
    x = 16,253,391,739.78/105,642.93
  6. Step 6: Final answer
    x = 153,852.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.