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Finding the Fourth Proportional to 45,689.90, 68,538.49 and 15,692.11

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Solution

The fourth proportional to 45,689.90, 68,538.49 and 15,692.11 is: 23,539.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,689.90 : 68,538.49 = 15,692.11 : x
  2. Step 2: Convert to fraction form
    45,689.90/68,538.49 = 15,692.11/x
  3. Step 3: Cross multiply
    45,689.90x = 68,538.49 × 15,692.11
  4. Step 4: Simplify right side
    45,689.90x = 1,075,513,313.74
  5. Step 5: Solve for x
    x = 1,075,513,313.74/45,689.90
  6. Step 6: Final answer
    x = 23,539.41

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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.