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Finding the Fourth Proportional to 77,831.56, 116,794.56 and 31,080.52

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Solution

The fourth proportional to 77,831.56, 116,794.56 and 31,080.52 is: 46,639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,831.56 : 116,794.56 = 31,080.52 : x
  2. Step 2: Convert to fraction form
    77,831.56/116,794.56 = 31,080.52/x
  3. Step 3: Cross multiply
    77,831.56x = 116,794.56 × 31,080.52
  4. Step 4: Simplify right side
    77,831.56x = 3,630,035,657.97
  5. Step 5: Solve for x
    x = 3,630,035,657.97/77,831.56
  6. Step 6: Final answer
    x = 46,639.64

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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.