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Finding the Fourth Proportional to 225,830, 311,641.80 and 123,857.84

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Solution

The fourth proportional to 225,830, 311,641.80 and 123,857.84 is: 170,921.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,830 : 311,641.80 = 123,857.84 : x
  2. Step 2: Convert to fraction form
    225,830/311,641.80 = 123,857.84/x
  3. Step 3: Cross multiply
    225,830x = 311,641.80 × 123,857.84
  4. Step 4: Simplify right side
    225,830x = 38,599,280,201.71
  5. Step 5: Solve for x
    x = 38,599,280,201.71/225,830
  6. Step 6: Final answer
    x = 170,921.84

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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.