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Finding the Fourth Proportional to 45,142, 62,296 and 25,270

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Solution

The fourth proportional to 45,142, 62,296 and 25,270 is: 34,872.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,142 : 62,296 = 25,270 : x
  2. Step 2: Convert to fraction form
    45,142/62,296 = 25,270/x
  3. Step 3: Cross multiply
    45,142x = 62,296 × 25,270
  4. Step 4: Simplify right side
    45,142x = 1,574,219,920
  5. Step 5: Solve for x
    x = 1,574,219,920/45,142
  6. Step 6: Final answer
    x = 34,872.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.