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Finding the Fourth Proportional to 70,122.98, 105,222.74 and 40,598.48

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Solution

The fourth proportional to 70,122.98, 105,222.74 and 40,598.48 is: 60,919.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,122.98 : 105,222.74 = 40,598.48 : x
  2. Step 2: Convert to fraction form
    70,122.98/105,222.74 = 40,598.48/x
  3. Step 3: Cross multiply
    70,122.98x = 105,222.74 × 40,598.48
  4. Step 4: Simplify right side
    70,122.98x = 4,271,883,305.44
  5. Step 5: Solve for x
    x = 4,271,883,305.44/70,122.98
  6. Step 6: Final answer
    x = 60,919.88

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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.