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Finding the Fourth Proportional to 70,390.31, 105,619.67 and 30,942.32

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Solution

The fourth proportional to 70,390.31, 105,619.67 and 30,942.32 is: 46,428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,390.31 : 105,619.67 = 30,942.32 : x
  2. Step 2: Convert to fraction form
    70,390.31/105,619.67 = 30,942.32/x
  3. Step 3: Cross multiply
    70,390.31x = 105,619.67 × 30,942.32
  4. Step 4: Simplify right side
    70,390.31x = 3,268,117,472.72
  5. Step 5: Solve for x
    x = 3,268,117,472.72/70,390.31
  6. Step 6: Final answer
    x = 46,428.51

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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.