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Finding the Fourth Proportional to 42,148.88, 58,165.04 and 23,286

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Solution

The fourth proportional to 42,148.88, 58,165.04 and 23,286 is: 32,134.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,148.88 : 58,165.04 = 23,286 : x
  2. Step 2: Convert to fraction form
    42,148.88/58,165.04 = 23,286/x
  3. Step 3: Cross multiply
    42,148.88x = 58,165.04 × 23,286
  4. Step 4: Simplify right side
    42,148.88x = 1,354,431,121.44
  5. Step 5: Solve for x
    x = 1,354,431,121.44/42,148.88
  6. Step 6: Final answer
    x = 32,134.45

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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.