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Finding the Fourth Proportional to 103,410.70, 155,116.05 and 67,981.30

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Solution

The fourth proportional to 103,410.70, 155,116.05 and 67,981.30 is: 101,971.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,410.70 : 155,116.05 = 67,981.30 : x
  2. Step 2: Convert to fraction form
    103,410.70/155,116.05 = 67,981.30/x
  3. Step 3: Cross multiply
    103,410.70x = 155,116.05 × 67,981.30
  4. Step 4: Simplify right side
    103,410.70x = 10,544,990,729.87
  5. Step 5: Solve for x
    x = 10,544,990,729.87/103,410.70
  6. Step 6: Final answer
    x = 101,971.95

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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.