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Finding the Fourth Proportional to 105,301.44, 157,983.84 and 31,429.44

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Solution

The fourth proportional to 105,301.44, 157,983.84 and 31,429.44 is: 47,153.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,301.44 : 157,983.84 = 31,429.44 : x
  2. Step 2: Convert to fraction form
    105,301.44/157,983.84 = 31,429.44/x
  3. Step 3: Cross multiply
    105,301.44x = 157,983.84 × 31,429.44
  4. Step 4: Simplify right side
    105,301.44x = 4,965,343,620.25
  5. Step 5: Solve for x
    x = 4,965,343,620.25/105,301.44
  6. Step 6: Final answer
    x = 47,153.62

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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.