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Finding the Fourth Proportional to 70,235.24, 105,391.74 and 28,679

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Solution

The fourth proportional to 70,235.24, 105,391.74 and 28,679 is: 43,034.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,235.24 : 105,391.74 = 28,679 : x
  2. Step 2: Convert to fraction form
    70,235.24/105,391.74 = 28,679/x
  3. Step 3: Cross multiply
    70,235.24x = 105,391.74 × 28,679
  4. Step 4: Simplify right side
    70,235.24x = 3,022,529,711.46
  5. Step 5: Solve for x
    x = 3,022,529,711.46/70,235.24
  6. Step 6: Final answer
    x = 43,034.38

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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.