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Finding the Fourth Proportional to 225,978.38, 311,849.28 and 124,005.54

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Solution

The fourth proportional to 225,978.38, 311,849.28 and 124,005.54 is: 171,127.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,978.38 : 311,849.28 = 124,005.54 : x
  2. Step 2: Convert to fraction form
    225,978.38/311,849.28 = 124,005.54/x
  3. Step 3: Cross multiply
    225,978.38x = 311,849.28 × 124,005.54
  4. Step 4: Simplify right side
    225,978.38x = 38,671,038,365.01
  5. Step 5: Solve for x
    x = 38,671,038,365.01/225,978.38
  6. Step 6: Final answer
    x = 171,127.16

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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.