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Finding the Fourth Proportional to 70,940.31, 106,426.02 and 21,024.30

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Solution

The fourth proportional to 70,940.31, 106,426.02 and 21,024.30 is: 31,541.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,940.31 : 106,426.02 = 21,024.30 : x
  2. Step 2: Convert to fraction form
    70,940.31/106,426.02 = 21,024.30/x
  3. Step 3: Cross multiply
    70,940.31x = 106,426.02 × 21,024.30
  4. Step 4: Simplify right side
    70,940.31x = 2,237,532,572.29
  5. Step 5: Solve for x
    x = 2,237,532,572.29/70,940.31
  6. Step 6: Final answer
    x = 31,541.06

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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.