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Finding the Fourth Proportional to 78,126.98, 117,093 and 38,112.98

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Solution

The fourth proportional to 78,126.98, 117,093 and 38,112.98 is: 57,121.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,126.98 : 117,093 = 38,112.98 : x
  2. Step 2: Convert to fraction form
    78,126.98/117,093 = 38,112.98/x
  3. Step 3: Cross multiply
    78,126.98x = 117,093 × 38,112.98
  4. Step 4: Simplify right side
    78,126.98x = 4,462,763,167.14
  5. Step 5: Solve for x
    x = 4,462,763,167.14/78,126.98
  6. Step 6: Final answer
    x = 57,121.92

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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.