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Finding the Fourth Proportional to 251,803.56, 377,705.40 and 83,278.68

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Solution

The fourth proportional to 251,803.56, 377,705.40 and 83,278.68 is: 124,918.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,803.56 : 377,705.40 = 83,278.68 : x
  2. Step 2: Convert to fraction form
    251,803.56/377,705.40 = 83,278.68/x
  3. Step 3: Cross multiply
    251,803.56x = 377,705.40 × 83,278.68
  4. Step 4: Simplify right side
    251,803.56x = 31,454,807,140.87
  5. Step 5: Solve for x
    x = 31,454,807,140.87/251,803.56
  6. Step 6: Final answer
    x = 124,918.04

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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.