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Finding the Fourth Proportional to 225,795.82, 311,595.66 and 130,300.47

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Solution

The fourth proportional to 225,795.82, 311,595.66 and 130,300.47 is: 179,813.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,795.82 : 311,595.66 = 130,300.47 : x
  2. Step 2: Convert to fraction form
    225,795.82/311,595.66 = 130,300.47/x
  3. Step 3: Cross multiply
    225,795.82x = 311,595.66 × 130,300.47
  4. Step 4: Simplify right side
    225,795.82x = 40,601,060,947.96
  5. Step 5: Solve for x
    x = 40,601,060,947.96/225,795.82
  6. Step 6: Final answer
    x = 179,813.16

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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.