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Finding the Fourth Proportional to 43,868.66, 65,807.60 and 14,288.80

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Solution

The fourth proportional to 43,868.66, 65,807.60 and 14,288.80 is: 21,434.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,868.66 : 65,807.60 = 14,288.80 : x
  2. Step 2: Convert to fraction form
    43,868.66/65,807.60 = 14,288.80/x
  3. Step 3: Cross multiply
    43,868.66x = 65,807.60 × 14,288.80
  4. Step 4: Simplify right side
    43,868.66x = 940,311,634.88
  5. Step 5: Solve for x
    x = 940,311,634.88/43,868.66
  6. Step 6: Final answer
    x = 21,434.70

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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.