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Finding the Fourth Proportional to 139,584.60, 209,376.90 and 133,023.60

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Solution

The fourth proportional to 139,584.60, 209,376.90 and 133,023.60 is: 199,535.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,584.60 : 209,376.90 = 133,023.60 : x
  2. Step 2: Convert to fraction form
    139,584.60/209,376.90 = 133,023.60/x
  3. Step 3: Cross multiply
    139,584.60x = 209,376.90 × 133,023.60
  4. Step 4: Simplify right side
    139,584.60x = 27,852,068,994.84
  5. Step 5: Solve for x
    x = 27,852,068,994.84/139,584.60
  6. Step 6: Final answer
    x = 199,535.40

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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.