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Finding the Fourth Proportional to 155,149.60, 232,724.16 and 49,984

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Solution

The fourth proportional to 155,149.60, 232,724.16 and 49,984 is: 74,975.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,149.60 : 232,724.16 = 49,984 : x
  2. Step 2: Convert to fraction form
    155,149.60/232,724.16 = 49,984/x
  3. Step 3: Cross multiply
    155,149.60x = 232,724.16 × 49,984
  4. Step 4: Simplify right side
    155,149.60x = 11,632,484,413.44
  5. Step 5: Solve for x
    x = 11,632,484,413.44/155,149.60
  6. Step 6: Final answer
    x = 74,975.92

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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.