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Finding the Fourth Proportional to 70,274.81, 105,412.32 and 28,721.81

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Solution

The fourth proportional to 70,274.81, 105,412.32 and 28,721.81 is: 43,082.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,274.81 : 105,412.32 = 28,721.81 : x
  2. Step 2: Convert to fraction form
    70,274.81/105,412.32 = 28,721.81/x
  3. Step 3: Cross multiply
    70,274.81x = 105,412.32 × 28,721.81
  4. Step 4: Simplify right side
    70,274.81x = 3,027,632,890.23
  5. Step 5: Solve for x
    x = 3,027,632,890.23/70,274.81
  6. Step 6: Final answer
    x = 43,082.76

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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.