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Finding the Fourth Proportional to 78,124.77, 117,201.74 and 25,537.14

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Solution

The fourth proportional to 78,124.77, 117,201.74 and 25,537.14 is: 38,310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,124.77 : 117,201.74 = 25,537.14 : x
  2. Step 2: Convert to fraction form
    78,124.77/117,201.74 = 25,537.14/x
  3. Step 3: Cross multiply
    78,124.77x = 117,201.74 × 25,537.14
  4. Step 4: Simplify right side
    78,124.77x = 2,992,997,114.94
  5. Step 5: Solve for x
    x = 2,992,997,114.94/78,124.77
  6. Step 6: Final answer
    x = 38,310.48

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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.