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Finding the Fourth Proportional to 225,978.30, 311,849.20 and 124,005.47

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Solution

The fourth proportional to 225,978.30, 311,849.20 and 124,005.47 is: 171,127.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,978.30 : 311,849.20 = 124,005.47 : x
  2. Step 2: Convert to fraction form
    225,978.30/311,849.20 = 124,005.47/x
  3. Step 3: Cross multiply
    225,978.30x = 311,849.20 × 124,005.47
  4. Step 4: Simplify right side
    225,978.30x = 38,671,006,615.12
  5. Step 5: Solve for x
    x = 38,671,006,615.12/225,978.30
  6. Step 6: Final answer
    x = 171,127.08

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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.