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Finding the Fourth Proportional to 70,120.98, 105,219.74 and 40,596.48

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Solution

The fourth proportional to 70,120.98, 105,219.74 and 40,596.48 is: 60,916.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,120.98 : 105,219.74 = 40,596.48 : x
  2. Step 2: Convert to fraction form
    70,120.98/105,219.74 = 40,596.48/x
  3. Step 3: Cross multiply
    70,120.98x = 105,219.74 × 40,596.48
  4. Step 4: Simplify right side
    70,120.98x = 4,271,551,172.01
  5. Step 5: Solve for x
    x = 4,271,551,172.01/70,120.98
  6. Step 6: Final answer
    x = 60,916.88

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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.