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Finding the Fourth Proportional to 105,168, 157,753.08 and 31,296

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Solution

The fourth proportional to 105,168, 157,753.08 and 31,296 is: 46,944.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,168 : 157,753.08 = 31,296 : x
  2. Step 2: Convert to fraction form
    105,168/157,753.08 = 31,296/x
  3. Step 3: Cross multiply
    105,168x = 157,753.08 × 31,296
  4. Step 4: Simplify right side
    105,168x = 4,937,040,391.68
  5. Step 5: Solve for x
    x = 4,937,040,391.68/105,168
  6. Step 6: Final answer
    x = 46,944.32

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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.