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Finding the Fourth Proportional to 103,004.68, 154,242.78 and 71,369.80

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Solution

The fourth proportional to 103,004.68, 154,242.78 and 71,369.80 is: 106,871.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,004.68 : 154,242.78 = 71,369.80 : x
  2. Step 2: Convert to fraction form
    103,004.68/154,242.78 = 71,369.80/x
  3. Step 3: Cross multiply
    103,004.68x = 154,242.78 × 71,369.80
  4. Step 4: Simplify right side
    103,004.68x = 11,008,276,360.04
  5. Step 5: Solve for x
    x = 11,008,276,360.04/103,004.68
  6. Step 6: Final answer
    x = 106,871.61

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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.