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Finding the Fourth Proportional to 55,785, 83,682.30 and 14,231.88

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Solution

The fourth proportional to 55,785, 83,682.30 and 14,231.88 is: 21,349.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,785 : 83,682.30 = 14,231.88 : x
  2. Step 2: Convert to fraction form
    55,785/83,682.30 = 14,231.88/x
  3. Step 3: Cross multiply
    55,785x = 83,682.30 × 14,231.88
  4. Step 4: Simplify right side
    55,785x = 1,190,956,451.72
  5. Step 5: Solve for x
    x = 1,190,956,451.72/55,785
  6. Step 6: Final answer
    x = 21,349.04

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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.