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Finding the Fourth Proportional to 80,977.50, 111,758.70 and 47,443.50

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Solution

The fourth proportional to 80,977.50, 111,758.70 and 47,443.50 is: 65,477.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,977.50 : 111,758.70 = 47,443.50 : x
  2. Step 2: Convert to fraction form
    80,977.50/111,758.70 = 47,443.50/x
  3. Step 3: Cross multiply
    80,977.50x = 111,758.70 × 47,443.50
  4. Step 4: Simplify right side
    80,977.50x = 5,302,223,883.45
  5. Step 5: Solve for x
    x = 5,302,223,883.45/80,977.50
  6. Step 6: Final answer
    x = 65,477.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.