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Finding the Fourth Proportional to 81,638.94, 122,341.56 and 46,506

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Solution

The fourth proportional to 81,638.94, 122,341.56 and 46,506 is: 69,692.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,638.94 : 122,341.56 = 46,506 : x
  2. Step 2: Convert to fraction form
    81,638.94/122,341.56 = 46,506/x
  3. Step 3: Cross multiply
    81,638.94x = 122,341.56 × 46,506
  4. Step 4: Simplify right side
    81,638.94x = 5,689,616,589.36
  5. Step 5: Solve for x
    x = 5,689,616,589.36/81,638.94
  6. Step 6: Final answer
    x = 69,692.44

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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.