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Finding the Fourth Proportional to 70,991.38, 106,430.86 and 35,434.40

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Solution

The fourth proportional to 70,991.38, 106,430.86 and 35,434.40 is: 53,123.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,991.38 : 106,430.86 = 35,434.40 : x
  2. Step 2: Convert to fraction form
    70,991.38/106,430.86 = 35,434.40/x
  3. Step 3: Cross multiply
    70,991.38x = 106,430.86 × 35,434.40
  4. Step 4: Simplify right side
    70,991.38x = 3,771,313,665.58
  5. Step 5: Solve for x
    x = 3,771,313,665.58/70,991.38
  6. Step 6: Final answer
    x = 53,123.54

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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.