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Finding the Fourth Proportional to 225,901.71, 311,746.77 and 123,927.35

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Solution

The fourth proportional to 225,901.71, 311,746.77 and 123,927.35 is: 171,021.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,901.71 : 311,746.77 = 123,927.35 : x
  2. Step 2: Convert to fraction form
    225,901.71/311,746.77 = 123,927.35/x
  3. Step 3: Cross multiply
    225,901.71x = 311,746.77 × 123,927.35
  4. Step 4: Simplify right side
    225,901.71x = 38,633,949,518.43
  5. Step 5: Solve for x
    x = 38,633,949,518.43/225,901.71
  6. Step 6: Final answer
    x = 171,021.06

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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.