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Finding the Fourth Proportional to 58,452, 87,678 and 19,540

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Solution

The fourth proportional to 58,452, 87,678 and 19,540 is: 29,310

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,452 : 87,678 = 19,540 : x
  2. Step 2: Convert to fraction form
    58,452/87,678 = 19,540/x
  3. Step 3: Cross multiply
    58,452x = 87,678 × 19,540
  4. Step 4: Simplify right side
    58,452x = 1,713,228,120
  5. Step 5: Solve for x
    x = 1,713,228,120/58,452
  6. Step 6: Final answer
    x = 29,310

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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.