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Finding the Fourth Proportional to 251,730.05, 377,505.14 and 83,219.27

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Solution

The fourth proportional to 251,730.05, 377,505.14 and 83,219.27 is: 124,799.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,730.05 : 377,505.14 = 83,219.27 : x
  2. Step 2: Convert to fraction form
    251,730.05/377,505.14 = 83,219.27/x
  3. Step 3: Cross multiply
    251,730.05x = 377,505.14 × 83,219.27
  4. Step 4: Simplify right side
    251,730.05x = 31,415,699,868.43
  5. Step 5: Solve for x
    x = 31,415,699,868.43/251,730.05
  6. Step 6: Final answer
    x = 124,799.17

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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.