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Finding the Fourth Proportional to 225,501.78, 311,188.73 and 123,526.29

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Solution

The fourth proportional to 225,501.78, 311,188.73 and 123,526.29 is: 170,464.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,501.78 : 311,188.73 = 123,526.29 : x
  2. Step 2: Convert to fraction form
    225,501.78/311,188.73 = 123,526.29/x
  3. Step 3: Cross multiply
    225,501.78x = 311,188.73 × 123,526.29
  4. Step 4: Simplify right side
    225,501.78x = 38,439,988,689.08
  5. Step 5: Solve for x
    x = 38,439,988,689.08/225,501.78
  6. Step 6: Final answer
    x = 170,464.24

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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.