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Finding the Fourth Proportional to 225,497.51, 311,173.27 and 123,502.66

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Solution

The fourth proportional to 225,497.51, 311,173.27 and 123,502.66 is: 170,426.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,497.51 : 311,173.27 = 123,502.66 : x
  2. Step 2: Convert to fraction form
    225,497.51/311,173.27 = 123,502.66/x
  3. Step 3: Cross multiply
    225,497.51x = 311,173.27 × 123,502.66
  4. Step 4: Simplify right side
    225,497.51x = 38,430,726,565.90
  5. Step 5: Solve for x
    x = 38,430,726,565.90/225,497.51
  6. Step 6: Final answer
    x = 170,426.39

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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.