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Finding the Fourth Proportional to 78,544.44, 117,831.24 and 31,830.12

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Solution

The fourth proportional to 78,544.44, 117,831.24 and 31,830.12 is: 47,751.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,544.44 : 117,831.24 = 31,830.12 : x
  2. Step 2: Convert to fraction form
    78,544.44/117,831.24 = 31,830.12/x
  3. Step 3: Cross multiply
    78,544.44x = 117,831.24 × 31,830.12
  4. Step 4: Simplify right side
    78,544.44x = 3,750,582,508.95
  5. Step 5: Solve for x
    x = 3,750,582,508.95/78,544.44
  6. Step 6: Final answer
    x = 47,751.09

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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.