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Finding the Fourth Proportional to 146,289, 201,821.67 and 85,025.01

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Solution

The fourth proportional to 146,289, 201,821.67 and 85,025.01 is: 117,301.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,289 : 201,821.67 = 85,025.01 : x
  2. Step 2: Convert to fraction form
    146,289/201,821.67 = 85,025.01/x
  3. Step 3: Cross multiply
    146,289x = 201,821.67 × 85,025.01
  4. Step 4: Simplify right side
    146,289x = 17,159,889,509.97
  5. Step 5: Solve for x
    x = 17,159,889,509.97/146,289
  6. Step 6: Final answer
    x = 117,301.30

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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.