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Finding the Fourth Proportional to 65,146.87, 97,728.81 and 18,400.96

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Solution

The fourth proportional to 65,146.87, 97,728.81 and 18,400.96 is: 27,603.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,146.87 : 97,728.81 = 18,400.96 : x
  2. Step 2: Convert to fraction form
    65,146.87/97,728.81 = 18,400.96/x
  3. Step 3: Cross multiply
    65,146.87x = 97,728.81 × 18,400.96
  4. Step 4: Simplify right side
    65,146.87x = 1,798,303,923.66
  5. Step 5: Solve for x
    x = 1,798,303,923.66/65,146.87
  6. Step 6: Final answer
    x = 27,603.84

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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.