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Finding the Fourth Proportional to 43,804.30, 65,716.78 and 14,219.86

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Solution

The fourth proportional to 43,804.30, 65,716.78 and 14,219.86 is: 21,333.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,804.30 : 65,716.78 = 14,219.86 : x
  2. Step 2: Convert to fraction form
    43,804.30/65,716.78 = 14,219.86/x
  3. Step 3: Cross multiply
    43,804.30x = 65,716.78 × 14,219.86
  4. Step 4: Simplify right side
    43,804.30x = 934,483,411.25
  5. Step 5: Solve for x
    x = 934,483,411.25/43,804.30
  6. Step 6: Final answer
    x = 21,333.14

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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.