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Finding the Fourth Proportional to 46,980.81, 70,470.81 and 11,919.96

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Solution

The fourth proportional to 46,980.81, 70,470.81 and 11,919.96 is: 17,879.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,980.81 : 70,470.81 = 11,919.96 : x
  2. Step 2: Convert to fraction form
    46,980.81/70,470.81 = 11,919.96/x
  3. Step 3: Cross multiply
    46,980.81x = 70,470.81 × 11,919.96
  4. Step 4: Simplify right side
    46,980.81x = 840,009,236.37
  5. Step 5: Solve for x
    x = 840,009,236.37/46,980.81
  6. Step 6: Final answer
    x = 17,879.84

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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.