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Finding the Fourth Proportional to 78,138.42, 117,050.91 and 35,959.74

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Solution

The fourth proportional to 78,138.42, 117,050.91 and 35,959.74 is: 53,867.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,138.42 : 117,050.91 = 35,959.74 : x
  2. Step 2: Convert to fraction form
    78,138.42/117,050.91 = 35,959.74/x
  3. Step 3: Cross multiply
    78,138.42x = 117,050.91 × 35,959.74
  4. Step 4: Simplify right side
    78,138.42x = 4,209,120,290.36
  5. Step 5: Solve for x
    x = 4,209,120,290.36/78,138.42
  6. Step 6: Final answer
    x = 53,867.49

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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.