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Finding the Fourth Proportional to 70,466.72, 105,669.36 and 26,660

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Solution

The fourth proportional to 70,466.72, 105,669.36 and 26,660 is: 39,978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,466.72 : 105,669.36 = 26,660 : x
  2. Step 2: Convert to fraction form
    70,466.72/105,669.36 = 26,660/x
  3. Step 3: Cross multiply
    70,466.72x = 105,669.36 × 26,660
  4. Step 4: Simplify right side
    70,466.72x = 2,817,145,137.60
  5. Step 5: Solve for x
    x = 2,817,145,137.60/70,466.72
  6. Step 6: Final answer
    x = 39,978.38

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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.