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Finding the Fourth Proportional to 70,646, 105,969.24 and 21,398

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Solution

The fourth proportional to 70,646, 105,969.24 and 21,398 is: 32,097.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,646 : 105,969.24 = 21,398 : x
  2. Step 2: Convert to fraction form
    70,646/105,969.24 = 21,398/x
  3. Step 3: Cross multiply
    70,646x = 105,969.24 × 21,398
  4. Step 4: Simplify right side
    70,646x = 2,267,529,797.52
  5. Step 5: Solve for x
    x = 2,267,529,797.52/70,646
  6. Step 6: Final answer
    x = 32,097.07

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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.