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Finding the Fourth Proportional to 225,730.91, 311,518.77 and 128,943.20

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Solution

The fourth proportional to 225,730.91, 311,518.77 and 128,943.20 is: 177,947.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,730.91 : 311,518.77 = 128,943.20 : x
  2. Step 2: Convert to fraction form
    225,730.91/311,518.77 = 128,943.20/x
  3. Step 3: Cross multiply
    225,730.91x = 311,518.77 × 128,943.20
  4. Step 4: Simplify right side
    225,730.91x = 40,168,227,063.86
  5. Step 5: Solve for x
    x = 40,168,227,063.86/225,730.91
  6. Step 6: Final answer
    x = 177,947.39

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1.5x scale

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.