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Finding the Fourth Proportional to 45,977.91, 68,967.02 and 12,697.25

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Solution

The fourth proportional to 45,977.91, 68,967.02 and 12,697.25 is: 19,045.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,977.91 : 68,967.02 = 12,697.25 : x
  2. Step 2: Convert to fraction form
    45,977.91/68,967.02 = 12,697.25/x
  3. Step 3: Cross multiply
    45,977.91x = 68,967.02 × 12,697.25
  4. Step 4: Simplify right side
    45,977.91x = 875,691,086.37
  5. Step 5: Solve for x
    x = 875,691,086.37/45,977.91
  6. Step 6: Final answer
    x = 19,045.91

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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.