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Finding the Fourth Proportional to 89,368.68, 133,847.99 and 51,835.66

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Solution

The fourth proportional to 89,368.68, 133,847.99 and 51,835.66 is: 77,634.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,368.68 : 133,847.99 = 51,835.66 : x
  2. Step 2: Convert to fraction form
    89,368.68/133,847.99 = 51,835.66/x
  3. Step 3: Cross multiply
    89,368.68x = 133,847.99 × 51,835.66
  4. Step 4: Simplify right side
    89,368.68x = 6,938,099,546.38
  5. Step 5: Solve for x
    x = 6,938,099,546.38/89,368.68
  6. Step 6: Final answer
    x = 77,634.57

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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.