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Finding the Fourth Proportional to 70,783.56, 106,101.30 and 26,391

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Solution

The fourth proportional to 70,783.56, 106,101.30 and 26,391 is: 39,558.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,783.56 : 106,101.30 = 26,391 : x
  2. Step 2: Convert to fraction form
    70,783.56/106,101.30 = 26,391/x
  3. Step 3: Cross multiply
    70,783.56x = 106,101.30 × 26,391
  4. Step 4: Simplify right side
    70,783.56x = 2,800,119,408.30
  5. Step 5: Solve for x
    x = 2,800,119,408.30/70,783.56
  6. Step 6: Final answer
    x = 39,558.89

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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.