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Finding the Fourth Proportional to 78,831.20, 118,246.80 and 28,894.70

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Solution

The fourth proportional to 78,831.20, 118,246.80 and 28,894.70 is: 43,342.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,831.20 : 118,246.80 = 28,894.70 : x
  2. Step 2: Convert to fraction form
    78,831.20/118,246.80 = 28,894.70/x
  3. Step 3: Cross multiply
    78,831.20x = 118,246.80 × 28,894.70
  4. Step 4: Simplify right side
    78,831.20x = 3,416,705,811.96
  5. Step 5: Solve for x
    x = 3,416,705,811.96/78,831.20
  6. Step 6: Final answer
    x = 43,342.05

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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.