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Finding the Fourth Proportional to 119,880.72, 179,704.08 and 77,734.80

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Solution

The fourth proportional to 119,880.72, 179,704.08 and 77,734.80 is: 116,526.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,880.72 : 179,704.08 = 77,734.80 : x
  2. Step 2: Convert to fraction form
    119,880.72/179,704.08 = 77,734.80/x
  3. Step 3: Cross multiply
    119,880.72x = 179,704.08 × 77,734.80
  4. Step 4: Simplify right side
    119,880.72x = 13,969,260,717.98
  5. Step 5: Solve for x
    x = 13,969,260,717.98/119,880.72
  6. Step 6: Final answer
    x = 116,526.33

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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.