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Finding the Fourth Proportional to 225,419.82, 311,075.55 and 124,815.66

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Solution

The fourth proportional to 225,419.82, 311,075.55 and 124,815.66 is: 172,243.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,419.82 : 311,075.55 = 124,815.66 : x
  2. Step 2: Convert to fraction form
    225,419.82/311,075.55 = 124,815.66/x
  3. Step 3: Cross multiply
    225,419.82x = 311,075.55 × 124,815.66
  4. Step 4: Simplify right side
    225,419.82x = 38,827,100,083.11
  5. Step 5: Solve for x
    x = 38,827,100,083.11/225,419.82
  6. Step 6: Final answer
    x = 172,243.51

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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.