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Finding the Fourth Proportional to 225,484, 311,177.64 and 124,882

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Solution

The fourth proportional to 225,484, 311,177.64 and 124,882 is: 172,342.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,484 : 311,177.64 = 124,882 : x
  2. Step 2: Convert to fraction form
    225,484/311,177.64 = 124,882/x
  3. Step 3: Cross multiply
    225,484x = 311,177.64 × 124,882
  4. Step 4: Simplify right side
    225,484x = 38,860,486,038.48
  5. Step 5: Solve for x
    x = 38,860,486,038.48/225,484
  6. Step 6: Final answer
    x = 172,342.54

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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.