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Finding the Fourth Proportional to 45,978.14, 68,954.76 and 12,690.20

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Solution

The fourth proportional to 45,978.14, 68,954.76 and 12,690.20 is: 19,031.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,978.14 : 68,954.76 = 12,690.20 : x
  2. Step 2: Convert to fraction form
    45,978.14/68,954.76 = 12,690.20/x
  3. Step 3: Cross multiply
    45,978.14x = 68,954.76 × 12,690.20
  4. Step 4: Simplify right side
    45,978.14x = 875,049,695.35
  5. Step 5: Solve for x
    x = 875,049,695.35/45,978.14
  6. Step 6: Final answer
    x = 19,031.86

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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.