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Finding the Fourth Proportional to 70,969.24, 106,463.70 and 21,053.80

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Solution

The fourth proportional to 70,969.24, 106,463.70 and 21,053.80 is: 31,583.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,969.24 : 106,463.70 = 21,053.80 : x
  2. Step 2: Convert to fraction form
    70,969.24/106,463.70 = 21,053.80/x
  3. Step 3: Cross multiply
    70,969.24x = 106,463.70 × 21,053.80
  4. Step 4: Simplify right side
    70,969.24x = 2,241,465,447.06
  5. Step 5: Solve for x
    x = 2,241,465,447.06/70,969.24
  6. Step 6: Final answer
    x = 31,583.62

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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.