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Finding the Fourth Proportional to 145,413.34, 200,769.90 and 111,361.78

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Solution

The fourth proportional to 145,413.34, 200,769.90 and 111,361.78 is: 153,755.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,413.34 : 200,769.90 = 111,361.78 : x
  2. Step 2: Convert to fraction form
    145,413.34/200,769.90 = 111,361.78/x
  3. Step 3: Cross multiply
    145,413.34x = 200,769.90 × 111,361.78
  4. Step 4: Simplify right side
    145,413.34x = 22,358,093,434.42
  5. Step 5: Solve for x
    x = 22,358,093,434.42/145,413.34
  6. Step 6: Final answer
    x = 153,755.45

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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.