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Finding the Fourth Proportional to 43,858.88, 65,796.32 and 14,278.08

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Solution

The fourth proportional to 43,858.88, 65,796.32 and 14,278.08 is: 21,419.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,858.88 : 65,796.32 = 14,278.08 : x
  2. Step 2: Convert to fraction form
    43,858.88/65,796.32 = 14,278.08/x
  3. Step 3: Cross multiply
    43,858.88x = 65,796.32 × 14,278.08
  4. Step 4: Simplify right side
    43,858.88x = 939,445,120.67
  5. Step 5: Solve for x
    x = 939,445,120.67/43,858.88
  6. Step 6: Final answer
    x = 21,419.72

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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.