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Finding the Fourth Proportional to 64,876.50, 89,396.72 and 47,853.78

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Solution

The fourth proportional to 64,876.50, 89,396.72 and 47,853.78 is: 65,940.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,876.50 : 89,396.72 = 47,853.78 : x
  2. Step 2: Convert to fraction form
    64,876.50/89,396.72 = 47,853.78/x
  3. Step 3: Cross multiply
    64,876.50x = 89,396.72 × 47,853.78
  4. Step 4: Simplify right side
    64,876.50x = 4,277,970,971.60
  5. Step 5: Solve for x
    x = 4,277,970,971.60/64,876.50
  6. Step 6: Final answer
    x = 65,940.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.