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Finding the Fourth Proportional to 70,452.72, 105,648.36 and 26,646

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Solution

The fourth proportional to 70,452.72, 105,648.36 and 26,646 is: 39,957.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,452.72 : 105,648.36 = 26,646 : x
  2. Step 2: Convert to fraction form
    70,452.72/105,648.36 = 26,646/x
  3. Step 3: Cross multiply
    70,452.72x = 105,648.36 × 26,646
  4. Step 4: Simplify right side
    70,452.72x = 2,815,106,200.56
  5. Step 5: Solve for x
    x = 2,815,106,200.56/70,452.72
  6. Step 6: Final answer
    x = 39,957.38

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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.