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Finding the Fourth Proportional to 82,172.64, 113,401.65 and 46,362.51

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Solution

The fourth proportional to 82,172.64, 113,401.65 and 46,362.51 is: 63,982.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,172.64 : 113,401.65 = 46,362.51 : x
  2. Step 2: Convert to fraction form
    82,172.64/113,401.65 = 46,362.51/x
  3. Step 3: Cross multiply
    82,172.64x = 113,401.65 × 46,362.51
  4. Step 4: Simplify right side
    82,172.64x = 5,257,585,132.14
  5. Step 5: Solve for x
    x = 5,257,585,132.14/82,172.64
  6. Step 6: Final answer
    x = 63,982.19

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