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Finding the Fourth Proportional to 81,413.55, 122,102.10 and 53,529.30

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Solution

The fourth proportional to 81,413.55, 122,102.10 and 53,529.30 is: 80,281.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,413.55 : 122,102.10 = 53,529.30 : x
  2. Step 2: Convert to fraction form
    81,413.55/122,102.10 = 53,529.30/x
  3. Step 3: Cross multiply
    81,413.55x = 122,102.10 × 53,529.30
  4. Step 4: Simplify right side
    81,413.55x = 6,536,039,941.53
  5. Step 5: Solve for x
    x = 6,536,039,941.53/81,413.55
  6. Step 6: Final answer
    x = 80,281.97

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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.