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Finding the Fourth Proportional to 70,649.70, 105,974.13 and 18,059.10

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Solution

The fourth proportional to 70,649.70, 105,974.13 and 18,059.10 is: 27,088.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,649.70 : 105,974.13 = 18,059.10 : x
  2. Step 2: Convert to fraction form
    70,649.70/105,974.13 = 18,059.10/x
  3. Step 3: Cross multiply
    70,649.70x = 105,974.13 × 18,059.10
  4. Step 4: Simplify right side
    70,649.70x = 1,913,797,411.08
  5. Step 5: Solve for x
    x = 1,913,797,411.08/70,649.70
  6. Step 6: Final answer
    x = 27,088.54

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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.