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Finding the Fourth Proportional to 89,328.75, 133,817.91 and 51,810

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Solution

The fourth proportional to 89,328.75, 133,817.91 and 51,810 is: 77,613.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,328.75 : 133,817.91 = 51,810 : x
  2. Step 2: Convert to fraction form
    89,328.75/133,817.91 = 51,810/x
  3. Step 3: Cross multiply
    89,328.75x = 133,817.91 × 51,810
  4. Step 4: Simplify right side
    89,328.75x = 6,933,105,917.10
  5. Step 5: Solve for x
    x = 6,933,105,917.10/89,328.75
  6. Step 6: Final answer
    x = 77,613.38

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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.