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Finding the Fourth Proportional to 65,239.75, 89,356.25 and 61,409.80

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Solution

The fourth proportional to 65,239.75, 89,356.25 and 61,409.80 is: 84,110.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,239.75 : 89,356.25 = 61,409.80 : x
  2. Step 2: Convert to fraction form
    65,239.75/89,356.25 = 61,409.80/x
  3. Step 3: Cross multiply
    65,239.75x = 89,356.25 × 61,409.80
  4. Step 4: Simplify right side
    65,239.75x = 5,487,349,441.25
  5. Step 5: Solve for x
    x = 5,487,349,441.25/65,239.75
  6. Step 6: Final answer
    x = 84,110.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.