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Finding the Fourth Proportional to 65,160.78, 97,758.03 and 18,413.66

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Solution

The fourth proportional to 65,160.78, 97,758.03 and 18,413.66 is: 27,625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,160.78 : 97,758.03 = 18,413.66 : x
  2. Step 2: Convert to fraction form
    65,160.78/97,758.03 = 18,413.66/x
  3. Step 3: Cross multiply
    65,160.78x = 97,758.03 × 18,413.66
  4. Step 4: Simplify right side
    65,160.78x = 1,800,082,637.90
  5. Step 5: Solve for x
    x = 1,800,082,637.90/65,160.78
  6. Step 6: Final answer
    x = 27,625.25

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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.