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Finding the Fourth Proportional to 129,897.96, 194,853.42 and 36,413.16

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Solution

The fourth proportional to 129,897.96, 194,853.42 and 36,413.16 is: 54,621.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,897.96 : 194,853.42 = 36,413.16 : x
  2. Step 2: Convert to fraction form
    129,897.96/194,853.42 = 36,413.16/x
  3. Step 3: Cross multiply
    129,897.96x = 194,853.42 × 36,413.16
  4. Step 4: Simplify right side
    129,897.96x = 7,095,228,759.01
  5. Step 5: Solve for x
    x = 7,095,228,759.01/129,897.96
  6. Step 6: Final answer
    x = 54,621.56

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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.