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Finding the Fourth Proportional to 140,413.64, 193,770.81 and 76,751.69

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Solution

The fourth proportional to 140,413.64, 193,770.81 and 76,751.69 is: 105,917.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,413.64 : 193,770.81 = 76,751.69 : x
  2. Step 2: Convert to fraction form
    140,413.64/193,770.81 = 76,751.69/x
  3. Step 3: Cross multiply
    140,413.64x = 193,770.81 × 76,751.69
  4. Step 4: Simplify right side
    140,413.64x = 14,872,237,140.17
  5. Step 5: Solve for x
    x = 14,872,237,140.17/140,413.64
  6. Step 6: Final answer
    x = 105,917.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.