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Finding the Fourth Proportional to 70,945.68, 106,428.85 and 21,019.31

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Solution

The fourth proportional to 70,945.68, 106,428.85 and 21,019.31 is: 31,532.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,945.68 : 106,428.85 = 21,019.31 : x
  2. Step 2: Convert to fraction form
    70,945.68/106,428.85 = 21,019.31/x
  3. Step 3: Cross multiply
    70,945.68x = 106,428.85 × 21,019.31
  4. Step 4: Simplify right side
    70,945.68x = 2,237,060,406.40
  5. Step 5: Solve for x
    x = 2,237,060,406.40/70,945.68
  6. Step 6: Final answer
    x = 31,532.02

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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.