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Finding the Fourth Proportional to 45,967.84, 68,950.38 and 12,689.90

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Solution

The fourth proportional to 45,967.84, 68,950.38 and 12,689.90 is: 19,034.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,967.84 : 68,950.38 = 12,689.90 : x
  2. Step 2: Convert to fraction form
    45,967.84/68,950.38 = 12,689.90/x
  3. Step 3: Cross multiply
    45,967.84x = 68,950.38 × 12,689.90
  4. Step 4: Simplify right side
    45,967.84x = 874,973,427.16
  5. Step 5: Solve for x
    x = 874,973,427.16/45,967.84
  6. Step 6: Final answer
    x = 19,034.47

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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.