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Finding the Fourth Proportional to 45,456.64, 68,179.20 and 14,291.20

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Solution

The fourth proportional to 45,456.64, 68,179.20 and 14,291.20 is: 21,434.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,456.64 : 68,179.20 = 14,291.20 : x
  2. Step 2: Convert to fraction form
    45,456.64/68,179.20 = 14,291.20/x
  3. Step 3: Cross multiply
    45,456.64x = 68,179.20 × 14,291.20
  4. Step 4: Simplify right side
    45,456.64x = 974,362,583.04
  5. Step 5: Solve for x
    x = 974,362,583.04/45,456.64
  6. Step 6: Final answer
    x = 21,434.99

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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.