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Finding the Fourth Proportional to 70,340, 105,510 and 21,092

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Solution

The fourth proportional to 70,340, 105,510 and 21,092 is: 31,638

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,340 : 105,510 = 21,092 : x
  2. Step 2: Convert to fraction form
    70,340/105,510 = 21,092/x
  3. Step 3: Cross multiply
    70,340x = 105,510 × 21,092
  4. Step 4: Simplify right side
    70,340x = 2,225,416,920
  5. Step 5: Solve for x
    x = 2,225,416,920/70,340
  6. Step 6: Final answer
    x = 31,638

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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.