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Finding the Fourth Proportional to 85,364.70, 127,974.78 and 35,413.62

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Solution

The fourth proportional to 85,364.70, 127,974.78 and 35,413.62 is: 53,090.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,364.70 : 127,974.78 = 35,413.62 : x
  2. Step 2: Convert to fraction form
    85,364.70/127,974.78 = 35,413.62/x
  3. Step 3: Cross multiply
    85,364.70x = 127,974.78 × 35,413.62
  4. Step 4: Simplify right side
    85,364.70x = 4,532,050,228.50
  5. Step 5: Solve for x
    x = 4,532,050,228.50/85,364.70
  6. Step 6: Final answer
    x = 53,090.45

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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.