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Finding the Fourth Proportional to 129,413.57, 193,941 and 97,797.78

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Solution

The fourth proportional to 129,413.57, 193,941 and 97,797.78 is: 146,561.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,413.57 : 193,941 = 97,797.78 : x
  2. Step 2: Convert to fraction form
    129,413.57/193,941 = 97,797.78/x
  3. Step 3: Cross multiply
    129,413.57x = 193,941 × 97,797.78
  4. Step 4: Simplify right side
    129,413.57x = 18,966,999,250.98
  5. Step 5: Solve for x
    x = 18,966,999,250.98/129,413.57
  6. Step 6: Final answer
    x = 146,561.14

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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.