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Finding the Fourth Proportional to 105,433.48, 157,975.25 and 74,203.12

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Solution

The fourth proportional to 105,433.48, 157,975.25 and 74,203.12 is: 111,181.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,433.48 : 157,975.25 = 74,203.12 : x
  2. Step 2: Convert to fraction form
    105,433.48/157,975.25 = 74,203.12/x
  3. Step 3: Cross multiply
    105,433.48x = 157,975.25 × 74,203.12
  4. Step 4: Simplify right side
    105,433.48x = 11,722,255,642.90
  5. Step 5: Solve for x
    x = 11,722,255,642.90/105,433.48
  6. Step 6: Final answer
    x = 111,181.54

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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.