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Finding the Fourth Proportional to 58,234, 87,351 and 21,298

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Solution

The fourth proportional to 58,234, 87,351 and 21,298 is: 31,947

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,234 : 87,351 = 21,298 : x
  2. Step 2: Convert to fraction form
    58,234/87,351 = 21,298/x
  3. Step 3: Cross multiply
    58,234x = 87,351 × 21,298
  4. Step 4: Simplify right side
    58,234x = 1,860,401,598
  5. Step 5: Solve for x
    x = 1,860,401,598/58,234
  6. Step 6: Final answer
    x = 31,947

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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.