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Finding the Fourth Proportional to 103,170.96, 154,756.40 and 68,102.40

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Solution

The fourth proportional to 103,170.96, 154,756.40 and 68,102.40 is: 102,153.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,170.96 : 154,756.40 = 68,102.40 : x
  2. Step 2: Convert to fraction form
    103,170.96/154,756.40 = 68,102.40/x
  3. Step 3: Cross multiply
    103,170.96x = 154,756.40 × 68,102.40
  4. Step 4: Simplify right side
    103,170.96x = 10,539,282,255.36
  5. Step 5: Solve for x
    x = 10,539,282,255.36/103,170.96
  6. Step 6: Final answer
    x = 102,153.57

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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.