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Finding the Fourth Proportional to 146,728.72, 202,486.46 and 86,301.90

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Solution

The fourth proportional to 146,728.72, 202,486.46 and 86,301.90 is: 119,097.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,728.72 : 202,486.46 = 86,301.90 : x
  2. Step 2: Convert to fraction form
    146,728.72/202,486.46 = 86,301.90/x
  3. Step 3: Cross multiply
    146,728.72x = 202,486.46 × 86,301.90
  4. Step 4: Simplify right side
    146,728.72x = 17,474,966,222.27
  5. Step 5: Solve for x
    x = 17,474,966,222.27/146,728.72
  6. Step 6: Final answer
    x = 119,097.11

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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.