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Finding the Fourth Proportional to 265,905.12, 398,863.14 and 88,413.66

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Solution

The fourth proportional to 265,905.12, 398,863.14 and 88,413.66 is: 132,622.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,905.12 : 398,863.14 = 88,413.66 : x
  2. Step 2: Convert to fraction form
    265,905.12/398,863.14 = 88,413.66/x
  3. Step 3: Cross multiply
    265,905.12x = 398,863.14 × 88,413.66
  4. Step 4: Simplify right side
    265,905.12x = 35,264,950,046.49
  5. Step 5: Solve for x
    x = 35,264,950,046.49/265,905.12
  6. Step 6: Final answer
    x = 132,622.31

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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.