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Finding the Fourth Proportional to 85,913.88, 128,882.54 and 49,907.25

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Solution

The fourth proportional to 85,913.88, 128,882.54 and 49,907.25 is: 74,867.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,913.88 : 128,882.54 = 49,907.25 : x
  2. Step 2: Convert to fraction form
    85,913.88/128,882.54 = 49,907.25/x
  3. Step 3: Cross multiply
    85,913.88x = 128,882.54 × 49,907.25
  4. Step 4: Simplify right side
    85,913.88x = 6,432,173,134.61
  5. Step 5: Solve for x
    x = 6,432,173,134.61/85,913.88
  6. Step 6: Final answer
    x = 74,867.69

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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.