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Finding the Fourth Proportional to 187,281.66, 280,930.69 and 54,175.37

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Solution

The fourth proportional to 187,281.66, 280,930.69 and 54,175.37 is: 81,265.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,281.66 : 280,930.69 = 54,175.37 : x
  2. Step 2: Convert to fraction form
    187,281.66/280,930.69 = 54,175.37/x
  3. Step 3: Cross multiply
    187,281.66x = 280,930.69 × 54,175.37
  4. Step 4: Simplify right side
    187,281.66x = 15,219,524,075.11
  5. Step 5: Solve for x
    x = 15,219,524,075.11/187,281.66
  6. Step 6: Final answer
    x = 81,265.43

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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.