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Finding the Fourth Proportional to 103,068.68, 154,625.09 and 31,989.83

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Solution

The fourth proportional to 103,068.68, 154,625.09 and 31,989.83 is: 47,991.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,068.68 : 154,625.09 = 31,989.83 : x
  2. Step 2: Convert to fraction form
    103,068.68/154,625.09 = 31,989.83/x
  3. Step 3: Cross multiply
    103,068.68x = 154,625.09 × 31,989.83
  4. Step 4: Simplify right side
    103,068.68x = 4,946,429,409.76
  5. Step 5: Solve for x
    x = 4,946,429,409.76/103,068.68
  6. Step 6: Final answer
    x = 47,991.59

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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.