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Finding the Fourth Proportional to 72,977.91, 109,591.94 and 45,063.14

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Solution

The fourth proportional to 72,977.91, 109,591.94 and 45,063.14 is: 67,671.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,977.91 : 109,591.94 = 45,063.14 : x
  2. Step 2: Convert to fraction form
    72,977.91/109,591.94 = 45,063.14/x
  3. Step 3: Cross multiply
    72,977.91x = 109,591.94 × 45,063.14
  4. Step 4: Simplify right side
    72,977.91x = 4,938,556,246.31
  5. Step 5: Solve for x
    x = 4,938,556,246.31/72,977.91
  6. Step 6: Final answer
    x = 67,671.93

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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.