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Finding the Fourth Proportional to 251,701.40, 377,610.54 and 83,211.56

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Solution

The fourth proportional to 251,701.40, 377,610.54 and 83,211.56 is: 124,836.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,701.40 : 377,610.54 = 83,211.56 : x
  2. Step 2: Convert to fraction form
    251,701.40/377,610.54 = 83,211.56/x
  3. Step 3: Cross multiply
    251,701.40x = 377,610.54 × 83,211.56
  4. Step 4: Simplify right side
    251,701.40x = 31,421,562,105.84
  5. Step 5: Solve for x
    x = 31,421,562,105.84/251,701.40
  6. Step 6: Final answer
    x = 124,836.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.