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Finding the Fourth Proportional to 115,615.98, 173,339.87 and 78,083.01

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Solution

The fourth proportional to 115,615.98, 173,339.87 and 78,083.01 is: 117,067.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,615.98 : 173,339.87 = 78,083.01 : x
  2. Step 2: Convert to fraction form
    115,615.98/173,339.87 = 78,083.01/x
  3. Step 3: Cross multiply
    115,615.98x = 173,339.87 × 78,083.01
  4. Step 4: Simplify right side
    115,615.98x = 13,534,898,412.19
  5. Step 5: Solve for x
    x = 13,534,898,412.19/115,615.98
  6. Step 6: Final answer
    x = 117,067.71

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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.