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Finding the Fourth Proportional to 80,583, 120,861.54 and 57,138.36

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Solution

The fourth proportional to 80,583, 120,861.54 and 57,138.36 is: 85,698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,583 : 120,861.54 = 57,138.36 : x
  2. Step 2: Convert to fraction form
    80,583/120,861.54 = 57,138.36/x
  3. Step 3: Cross multiply
    80,583x = 120,861.54 × 57,138.36
  4. Step 4: Simplify right side
    80,583x = 6,905,830,182.67
  5. Step 5: Solve for x
    x = 6,905,830,182.67/80,583
  6. Step 6: Final answer
    x = 85,698.35

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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.