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Finding the Fourth Proportional to 87,426, 120,647.94 and 47,682

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Solution

The fourth proportional to 87,426, 120,647.94 and 47,682 is: 65,801.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,426 : 120,647.94 = 47,682 : x
  2. Step 2: Convert to fraction form
    87,426/120,647.94 = 47,682/x
  3. Step 3: Cross multiply
    87,426x = 120,647.94 × 47,682
  4. Step 4: Simplify right side
    87,426x = 5,752,735,075.08
  5. Step 5: Solve for x
    x = 5,752,735,075.08/87,426
  6. Step 6: Final answer
    x = 65,801.19

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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.