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Finding the Fourth Proportional to 43,850.04, 65,765.88 and 12,678

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Solution

The fourth proportional to 43,850.04, 65,765.88 and 12,678 is: 19,014.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,850.04 : 65,765.88 = 12,678 : x
  2. Step 2: Convert to fraction form
    43,850.04/65,765.88 = 12,678/x
  3. Step 3: Cross multiply
    43,850.04x = 65,765.88 × 12,678
  4. Step 4: Simplify right side
    43,850.04x = 833,779,826.64
  5. Step 5: Solve for x
    x = 833,779,826.64/43,850.04
  6. Step 6: Final answer
    x = 19,014.35

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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.