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Finding the Fourth Proportional to 225,563.58, 311,263.29 and 123,587.82

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Solution

The fourth proportional to 225,563.58, 311,263.29 and 123,587.82 is: 170,543.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,563.58 : 311,263.29 = 123,587.82 : x
  2. Step 2: Convert to fraction form
    225,563.58/311,263.29 = 123,587.82/x
  3. Step 3: Cross multiply
    225,563.58x = 311,263.29 × 123,587.82
  4. Step 4: Simplify right side
    225,563.58x = 38,468,351,457.13
  5. Step 5: Solve for x
    x = 38,468,351,457.13/225,563.58
  6. Step 6: Final answer
    x = 170,543.27

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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.