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Finding the Fourth Proportional to 105,303.70, 157,932.23 and 30,407.54

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Solution

The fourth proportional to 105,303.70, 157,932.23 and 30,407.54 is: 45,604.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,303.70 : 157,932.23 = 30,407.54 : x
  2. Step 2: Convert to fraction form
    105,303.70/157,932.23 = 30,407.54/x
  3. Step 3: Cross multiply
    105,303.70x = 157,932.23 × 30,407.54
  4. Step 4: Simplify right side
    105,303.70x = 4,802,330,601.01
  5. Step 5: Solve for x
    x = 4,802,330,601.01/105,303.70
  6. Step 6: Final answer
    x = 45,604.58

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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.