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Finding the Fourth Proportional to 78,538.82, 117,809.44 and 74,551.19

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Solution

The fourth proportional to 78,538.82, 117,809.44 and 74,551.19 is: 111,827.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,538.82 : 117,809.44 = 74,551.19 : x
  2. Step 2: Convert to fraction form
    78,538.82/117,809.44 = 74,551.19/x
  3. Step 3: Cross multiply
    78,538.82x = 117,809.44 × 74,551.19
  4. Step 4: Simplify right side
    78,538.82x = 8,782,833,169.81
  5. Step 5: Solve for x
    x = 8,782,833,169.81/78,538.82
  6. Step 6: Final answer
    x = 111,827.93

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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.