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Finding the Fourth Proportional to 74,646.56, 111,969.84 and 19,242.56

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Solution

The fourth proportional to 74,646.56, 111,969.84 and 19,242.56 is: 28,863.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,646.56 : 111,969.84 = 19,242.56 : x
  2. Step 2: Convert to fraction form
    74,646.56/111,969.84 = 19,242.56/x
  3. Step 3: Cross multiply
    74,646.56x = 111,969.84 × 19,242.56
  4. Step 4: Simplify right side
    74,646.56x = 2,154,586,716.47
  5. Step 5: Solve for x
    x = 2,154,586,716.47/74,646.56
  6. Step 6: Final answer
    x = 28,863.84

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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.