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Finding the Fourth Proportional to 43,842.60, 65,739.60 and 18,878.40

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Solution

The fourth proportional to 43,842.60, 65,739.60 and 18,878.40 is: 28,307.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,842.60 : 65,739.60 = 18,878.40 : x
  2. Step 2: Convert to fraction form
    43,842.60/65,739.60 = 18,878.40/x
  3. Step 3: Cross multiply
    43,842.60x = 65,739.60 × 18,878.40
  4. Step 4: Simplify right side
    43,842.60x = 1,241,058,464.64
  5. Step 5: Solve for x
    x = 1,241,058,464.64/43,842.60
  6. Step 6: Final answer
    x = 28,307.14

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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.