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Finding the Fourth Proportional to 225,730.86, 311,512.09 and 123,765.63

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Solution

The fourth proportional to 225,730.86, 311,512.09 and 123,765.63 is: 170,798.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,730.86 : 311,512.09 = 123,765.63 : x
  2. Step 2: Convert to fraction form
    225,730.86/311,512.09 = 123,765.63/x
  3. Step 3: Cross multiply
    225,730.86x = 311,512.09 × 123,765.63
  4. Step 4: Simplify right side
    225,730.86x = 38,554,490,071.47
  5. Step 5: Solve for x
    x = 38,554,490,071.47/225,730.86
  6. Step 6: Final answer
    x = 170,798.49

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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.