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Finding the Fourth Proportional to 251,815.78, 377,723.64 and 85,603.78

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Solution

The fourth proportional to 251,815.78, 377,723.64 and 85,603.78 is: 128,405.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,815.78 : 377,723.64 = 85,603.78 : x
  2. Step 2: Convert to fraction form
    251,815.78/377,723.64 = 85,603.78/x
  3. Step 3: Cross multiply
    251,815.78x = 377,723.64 × 85,603.78
  4. Step 4: Simplify right side
    251,815.78x = 32,334,571,379.36
  5. Step 5: Solve for x
    x = 32,334,571,379.36/251,815.78
  6. Step 6: Final answer
    x = 128,405.66

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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.