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Finding the Fourth Proportional to 187,855.61, 259,247.39 and 102,972.65

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Solution

The fourth proportional to 187,855.61, 259,247.39 and 102,972.65 is: 142,105.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,855.61 : 259,247.39 = 102,972.65 : x
  2. Step 2: Convert to fraction form
    187,855.61/259,247.39 = 102,972.65/x
  3. Step 3: Cross multiply
    187,855.61x = 259,247.39 × 102,972.65
  4. Step 4: Simplify right side
    187,855.61x = 26,695,390,239.02
  5. Step 5: Solve for x
    x = 26,695,390,239.02/187,855.61
  6. Step 6: Final answer
    x = 142,105.90

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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.