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Finding the Fourth Proportional to 251,705.40, 377,616.54 and 83,215.56

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Solution

The fourth proportional to 251,705.40, 377,616.54 and 83,215.56 is: 124,842.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,705.40 : 377,616.54 = 83,215.56 : x
  2. Step 2: Convert to fraction form
    251,705.40/377,616.54 = 83,215.56/x
  3. Step 3: Cross multiply
    251,705.40x = 377,616.54 × 83,215.56
  4. Step 4: Simplify right side
    251,705.40x = 31,423,571,841.36
  5. Step 5: Solve for x
    x = 31,423,571,841.36/251,705.40
  6. Step 6: Final answer
    x = 124,842.66

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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.