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Finding the Fourth Proportional to 225,703.25, 311,502.44 and 139,689.91

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Solution

The fourth proportional to 225,703.25, 311,502.44 and 139,689.91 is: 192,791.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,703.25 : 311,502.44 = 139,689.91 : x
  2. Step 2: Convert to fraction form
    225,703.25/311,502.44 = 139,689.91/x
  3. Step 3: Cross multiply
    225,703.25x = 311,502.44 × 139,689.91
  4. Step 4: Simplify right side
    225,703.25x = 43,513,746,331.17
  5. Step 5: Solve for x
    x = 43,513,746,331.17/225,703.25
  6. Step 6: Final answer
    x = 192,791.84

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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.