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Finding the Fourth Proportional to 102,790.81, 154,326.10 and 57,843.92

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Solution

The fourth proportional to 102,790.81, 154,326.10 and 57,843.92 is: 86,844.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,790.81 : 154,326.10 = 57,843.92 : x
  2. Step 2: Convert to fraction form
    102,790.81/154,326.10 = 57,843.92/x
  3. Step 3: Cross multiply
    102,790.81x = 154,326.10 × 57,843.92
  4. Step 4: Simplify right side
    102,790.81x = 8,926,826,293.09
  5. Step 5: Solve for x
    x = 8,926,826,293.09/102,790.81
  6. Step 6: Final answer
    x = 86,844.60

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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.