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Finding the Fourth Proportional to 225,431, 311,094.78 and 124,829

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Solution

The fourth proportional to 225,431, 311,094.78 and 124,829 is: 172,264.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,431 : 311,094.78 = 124,829 : x
  2. Step 2: Convert to fraction form
    225,431/311,094.78 = 124,829/x
  3. Step 3: Cross multiply
    225,431x = 311,094.78 × 124,829
  4. Step 4: Simplify right side
    225,431x = 38,833,650,292.62
  5. Step 5: Solve for x
    x = 38,833,650,292.62/225,431
  6. Step 6: Final answer
    x = 172,264.02

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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.