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Finding the Fourth Proportional to 86,961.76, 130,468.65 and 49,999.84

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Solution

The fourth proportional to 86,961.76, 130,468.65 and 49,999.84 is: 75,014.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,961.76 : 130,468.65 = 49,999.84 : x
  2. Step 2: Convert to fraction form
    86,961.76/130,468.65 = 49,999.84/x
  3. Step 3: Cross multiply
    86,961.76x = 130,468.65 × 49,999.84
  4. Step 4: Simplify right side
    86,961.76x = 6,523,411,625.02
  5. Step 5: Solve for x
    x = 6,523,411,625.02/86,961.76
  6. Step 6: Final answer
    x = 75,014.71

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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.