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Finding the Fourth Proportional to 105,165.81, 157,748.72 and 55,906.29

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Solution

The fourth proportional to 105,165.81, 157,748.72 and 55,906.29 is: 83,859.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,165.81 : 157,748.72 = 55,906.29 : x
  2. Step 2: Convert to fraction form
    105,165.81/157,748.72 = 55,906.29/x
  3. Step 3: Cross multiply
    105,165.81x = 157,748.72 × 55,906.29
  4. Step 4: Simplify right side
    105,165.81x = 8,819,145,407.92
  5. Step 5: Solve for x
    x = 8,819,145,407.92/105,165.81
  6. Step 6: Final answer
    x = 83,859.44

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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.