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Finding the Fourth Proportional to 78,491.04, 117,735.48 and 19,327.20

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Solution

The fourth proportional to 78,491.04, 117,735.48 and 19,327.20 is: 28,990.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,491.04 : 117,735.48 = 19,327.20 : x
  2. Step 2: Convert to fraction form
    78,491.04/117,735.48 = 19,327.20/x
  3. Step 3: Cross multiply
    78,491.04x = 117,735.48 × 19,327.20
  4. Step 4: Simplify right side
    78,491.04x = 2,275,497,169.06
  5. Step 5: Solve for x
    x = 2,275,497,169.06/78,491.04
  6. Step 6: Final answer
    x = 28,990.53

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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.