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Finding the Fourth Proportional to 259,305, 357,831.94 and 146,121

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Solution

The fourth proportional to 259,305, 357,831.94 and 146,121 is: 201,641.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,305 : 357,831.94 = 146,121 : x
  2. Step 2: Convert to fraction form
    259,305/357,831.94 = 146,121/x
  3. Step 3: Cross multiply
    259,305x = 357,831.94 × 146,121
  4. Step 4: Simplify right side
    259,305x = 52,286,760,904.74
  5. Step 5: Solve for x
    x = 52,286,760,904.74/259,305
  6. Step 6: Final answer
    x = 201,641.93

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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.