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Finding the Fourth Proportional to 155,413.76, 214,470.67 and 87,430.78

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Solution

The fourth proportional to 155,413.76, 214,470.67 and 87,430.78 is: 120,654.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,413.76 : 214,470.67 = 87,430.78 : x
  2. Step 2: Convert to fraction form
    155,413.76/214,470.67 = 87,430.78/x
  3. Step 3: Cross multiply
    155,413.76x = 214,470.67 × 87,430.78
  4. Step 4: Simplify right side
    155,413.76x = 18,751,338,781.87
  5. Step 5: Solve for x
    x = 18,751,338,781.87/155,413.76
  6. Step 6: Final answer
    x = 120,654.30

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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.