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Finding the Fourth Proportional to 70,389.81, 105,618.92 and 30,941.82

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Solution

The fourth proportional to 70,389.81, 105,618.92 and 30,941.82 is: 46,427.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,389.81 : 105,618.92 = 30,941.82 : x
  2. Step 2: Convert to fraction form
    70,389.81/105,618.92 = 30,941.82/x
  3. Step 3: Cross multiply
    70,389.81x = 105,618.92 × 30,941.82
  4. Step 4: Simplify right side
    70,389.81x = 3,268,041,456.53
  5. Step 5: Solve for x
    x = 3,268,041,456.53/70,389.81
  6. Step 6: Final answer
    x = 46,427.76

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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.