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Finding the Fourth Proportional to 225,272.61, 310,863.54 and 123,297.86

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Solution

The fourth proportional to 225,272.61, 310,863.54 and 123,297.86 is: 170,144.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,272.61 : 310,863.54 = 123,297.86 : x
  2. Step 2: Convert to fraction form
    225,272.61/310,863.54 = 123,297.86/x
  3. Step 3: Cross multiply
    225,272.61x = 310,863.54 × 123,297.86
  4. Step 4: Simplify right side
    225,272.61x = 38,328,807,679.71
  5. Step 5: Solve for x
    x = 38,328,807,679.71/225,272.61
  6. Step 6: Final answer
    x = 170,144.11

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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.