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Finding the Fourth Proportional to 105,031.80, 144,943.02 and 57,286.44

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Solution

The fourth proportional to 105,031.80, 144,943.02 and 57,286.44 is: 79,054.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,031.80 : 144,943.02 = 57,286.44 : x
  2. Step 2: Convert to fraction form
    105,031.80/144,943.02 = 57,286.44/x
  3. Step 3: Cross multiply
    105,031.80x = 144,943.02 × 57,286.44
  4. Step 4: Simplify right side
    105,031.80x = 8,303,269,618.65
  5. Step 5: Solve for x
    x = 8,303,269,618.65/105,031.80
  6. Step 6: Final answer
    x = 79,054.82

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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.