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Finding the Fourth Proportional to 225,774.70, 311,572.59 and 123,809.47

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Solution

The fourth proportional to 225,774.70, 311,572.59 and 123,809.47 is: 170,858.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,774.70 : 311,572.59 = 123,809.47 : x
  2. Step 2: Convert to fraction form
    225,774.70/311,572.59 = 123,809.47/x
  3. Step 3: Cross multiply
    225,774.70x = 311,572.59 × 123,809.47
  4. Step 4: Simplify right side
    225,774.70x = 38,575,637,234.43
  5. Step 5: Solve for x
    x = 38,575,637,234.43/225,774.70
  6. Step 6: Final answer
    x = 170,858.99

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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.