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Finding the Fourth Proportional to 40,142, 60,213 and 10,958

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Solution

The fourth proportional to 40,142, 60,213 and 10,958 is: 16,437

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,142 : 60,213 = 10,958 : x
  2. Step 2: Convert to fraction form
    40,142/60,213 = 10,958/x
  3. Step 3: Cross multiply
    40,142x = 60,213 × 10,958
  4. Step 4: Simplify right side
    40,142x = 659,814,054
  5. Step 5: Solve for x
    x = 659,814,054/40,142
  6. Step 6: Final answer
    x = 16,437

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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.