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Finding the Fourth Proportional to 105,803.70, 158,715.78 and 30,922.14

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Solution

The fourth proportional to 105,803.70, 158,715.78 and 30,922.14 is: 46,386.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,803.70 : 158,715.78 = 30,922.14 : x
  2. Step 2: Convert to fraction form
    105,803.70/158,715.78 = 30,922.14/x
  3. Step 3: Cross multiply
    105,803.70x = 158,715.78 × 30,922.14
  4. Step 4: Simplify right side
    105,803.70x = 4,907,831,569.37
  5. Step 5: Solve for x
    x = 4,907,831,569.37/105,803.70
  6. Step 6: Final answer
    x = 46,386.20

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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.