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Finding the Fourth Proportional to 225,895.71, 311,712.98 and 135,249.32

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Solution

The fourth proportional to 225,895.71, 311,712.98 and 135,249.32 is: 186,630.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,895.71 : 311,712.98 = 135,249.32 : x
  2. Step 2: Convert to fraction form
    225,895.71/311,712.98 = 135,249.32/x
  3. Step 3: Cross multiply
    225,895.71x = 311,712.98 × 135,249.32
  4. Step 4: Simplify right side
    225,895.71x = 42,158,968,683.21
  5. Step 5: Solve for x
    x = 42,158,968,683.21/225,895.71
  6. Step 6: Final answer
    x = 186,630.23

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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.