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Finding the Fourth Proportional to 43,409.94, 65,123.01 and 19,719.15

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Solution

The fourth proportional to 43,409.94, 65,123.01 and 19,719.15 is: 29,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,409.94 : 65,123.01 = 19,719.15 : x
  2. Step 2: Convert to fraction form
    43,409.94/65,123.01 = 19,719.15/x
  3. Step 3: Cross multiply
    43,409.94x = 65,123.01 × 19,719.15
  4. Step 4: Simplify right side
    43,409.94x = 1,284,170,402.64
  5. Step 5: Solve for x
    x = 1,284,170,402.64/43,409.94
  6. Step 6: Final answer
    x = 29,582.40

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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.