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Finding the Fourth Proportional to 43,651.71, 65,416.01 and 19,900.89

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Solution

The fourth proportional to 43,651.71, 65,416.01 and 19,900.89 is: 29,823.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,651.71 : 65,416.01 = 19,900.89 : x
  2. Step 2: Convert to fraction form
    43,651.71/65,416.01 = 19,900.89/x
  3. Step 3: Cross multiply
    43,651.71x = 65,416.01 × 19,900.89
  4. Step 4: Simplify right side
    43,651.71x = 1,301,836,719.74
  5. Step 5: Solve for x
    x = 1,301,836,719.74/43,651.71
  6. Step 6: Final answer
    x = 29,823.27

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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.