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Finding the Fourth Proportional to 70,338.81, 105,507.77 and 17,748.35

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Solution

The fourth proportional to 70,338.81, 105,507.77 and 17,748.35 is: 26,622.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,338.81 : 105,507.77 = 17,748.35 : x
  2. Step 2: Convert to fraction form
    70,338.81/105,507.77 = 17,748.35/x
  3. Step 3: Cross multiply
    70,338.81x = 105,507.77 × 17,748.35
  4. Step 4: Simplify right side
    70,338.81x = 1,872,588,609.05
  5. Step 5: Solve for x
    x = 1,872,588,609.05/70,338.81
  6. Step 6: Final answer
    x = 26,622.41

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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.