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Finding the Fourth Proportional to 103,205.98, 154,863.06 and 74,976.16

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Solution

The fourth proportional to 103,205.98, 154,863.06 and 74,976.16 is: 112,503.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,205.98 : 154,863.06 = 74,976.16 : x
  2. Step 2: Convert to fraction form
    103,205.98/154,863.06 = 74,976.16/x
  3. Step 3: Cross multiply
    103,205.98x = 154,863.06 × 74,976.16
  4. Step 4: Simplify right side
    103,205.98x = 11,611,037,564.65
  5. Step 5: Solve for x
    x = 11,611,037,564.65/103,205.98
  6. Step 6: Final answer
    x = 112,503.53

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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.