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Finding the Fourth Proportional to 129,413.96, 194,129.31 and 40,671.17

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Solution

The fourth proportional to 129,413.96, 194,129.31 and 40,671.17 is: 61,009.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,413.96 : 194,129.31 = 40,671.17 : x
  2. Step 2: Convert to fraction form
    129,413.96/194,129.31 = 40,671.17/x
  3. Step 3: Cross multiply
    129,413.96x = 194,129.31 × 40,671.17
  4. Step 4: Simplify right side
    129,413.96x = 7,895,466,168.99
  5. Step 5: Solve for x
    x = 7,895,466,168.99/129,413.96
  6. Step 6: Final answer
    x = 61,009.39

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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.