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Finding the Fourth Proportional to 29,106, 40,172.76 and 18,493.56

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Solution

The fourth proportional to 29,106, 40,172.76 and 18,493.56 is: 25,525.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,106 : 40,172.76 = 18,493.56 : x
  2. Step 2: Convert to fraction form
    29,106/40,172.76 = 18,493.56/x
  3. Step 3: Cross multiply
    29,106x = 40,172.76 × 18,493.56
  4. Step 4: Simplify right side
    29,106x = 742,937,347.43
  5. Step 5: Solve for x
    x = 742,937,347.43/29,106
  6. Step 6: Final answer
    x = 25,525.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.