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Finding the Fourth Proportional to 66,913.50, 100,409.13 and 29,977.50

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Solution

The fourth proportional to 66,913.50, 100,409.13 and 29,977.50 is: 44,983.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,913.50 : 100,409.13 = 29,977.50 : x
  2. Step 2: Convert to fraction form
    66,913.50/100,409.13 = 29,977.50/x
  3. Step 3: Cross multiply
    66,913.50x = 100,409.13 × 29,977.50
  4. Step 4: Simplify right side
    66,913.50x = 3,010,014,694.58
  5. Step 5: Solve for x
    x = 3,010,014,694.58/66,913.50
  6. Step 6: Final answer
    x = 44,983.67

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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.