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Finding the Fourth Proportional to 138,413.73, 191,010.90 and 74,751.54

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Solution

The fourth proportional to 138,413.73, 191,010.90 and 74,751.54 is: 103,157.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,413.73 : 191,010.90 = 74,751.54 : x
  2. Step 2: Convert to fraction form
    138,413.73/191,010.90 = 74,751.54/x
  3. Step 3: Cross multiply
    138,413.73x = 191,010.90 × 74,751.54
  4. Step 4: Simplify right side
    138,413.73x = 14,278,358,931.79
  5. Step 5: Solve for x
    x = 14,278,358,931.79/138,413.73
  6. Step 6: Final answer
    x = 103,157.10

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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.