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Finding the Fourth Proportional to 225,549.68, 311,243.97 and 123,575

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Solution

The fourth proportional to 225,549.68, 311,243.97 and 123,575 is: 170,525.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,549.68 : 311,243.97 = 123,575 : x
  2. Step 2: Convert to fraction form
    225,549.68/311,243.97 = 123,575/x
  3. Step 3: Cross multiply
    225,549.68x = 311,243.97 × 123,575
  4. Step 4: Simplify right side
    225,549.68x = 38,461,973,592.75
  5. Step 5: Solve for x
    x = 38,461,973,592.75/225,549.68
  6. Step 6: Final answer
    x = 170,525.51

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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.