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Finding the Fourth Proportional to 70,588, 105,882 and 21,340

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Solution

The fourth proportional to 70,588, 105,882 and 21,340 is: 32,010

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,588 : 105,882 = 21,340 : x
  2. Step 2: Convert to fraction form
    70,588/105,882 = 21,340/x
  3. Step 3: Cross multiply
    70,588x = 105,882 × 21,340
  4. Step 4: Simplify right side
    70,588x = 2,259,521,880
  5. Step 5: Solve for x
    x = 2,259,521,880/70,588
  6. Step 6: Final answer
    x = 32,010

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.