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Finding the Fourth Proportional to 103,820.32, 155,713.47 and 28,945.54

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Solution

The fourth proportional to 103,820.32, 155,713.47 and 28,945.54 is: 43,413.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,820.32 : 155,713.47 = 28,945.54 : x
  2. Step 2: Convert to fraction form
    103,820.32/155,713.47 = 28,945.54/x
  3. Step 3: Cross multiply
    103,820.32x = 155,713.47 × 28,945.54
  4. Step 4: Simplify right side
    103,820.32x = 4,507,210,474.42
  5. Step 5: Solve for x
    x = 4,507,210,474.42/103,820.32
  6. Step 6: Final answer
    x = 43,413.57

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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.