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Finding the Fourth Proportional to 78,165.81, 116,682.73 and 68,707.44

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Solution

The fourth proportional to 78,165.81, 116,682.73 and 68,707.44 is: 102,563.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,165.81 : 116,682.73 = 68,707.44 : x
  2. Step 2: Convert to fraction form
    78,165.81/116,682.73 = 68,707.44/x
  3. Step 3: Cross multiply
    78,165.81x = 116,682.73 × 68,707.44
  4. Step 4: Simplify right side
    78,165.81x = 8,016,971,498.74
  5. Step 5: Solve for x
    x = 8,016,971,498.74/78,165.81
  6. Step 6: Final answer
    x = 102,563.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.