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Finding the Fourth Proportional to 65,100, 97,649.76 and 18,352.80

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Solution

The fourth proportional to 65,100, 97,649.76 and 18,352.80 is: 27,529.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,100 : 97,649.76 = 18,352.80 : x
  2. Step 2: Convert to fraction form
    65,100/97,649.76 = 18,352.80/x
  3. Step 3: Cross multiply
    65,100x = 97,649.76 × 18,352.80
  4. Step 4: Simplify right side
    65,100x = 1,792,146,515.33
  5. Step 5: Solve for x
    x = 1,792,146,515.33/65,100
  6. Step 6: Final answer
    x = 27,529.13

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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.