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Finding the Fourth Proportional to 146,831.70, 205,979.10 and 146,831.70

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Solution

The fourth proportional to 146,831.70, 205,979.10 and 146,831.70 is: 205,979.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,831.70 : 205,979.10 = 146,831.70 : x
  2. Step 2: Convert to fraction form
    146,831.70/205,979.10 = 146,831.70/x
  3. Step 3: Cross multiply
    146,831.70x = 205,979.10 × 146,831.70
  4. Step 4: Simplify right side
    146,831.70x = 30,244,261,417.47
  5. Step 5: Solve for x
    x = 30,244,261,417.47/146,831.70
  6. Step 6: Final answer
    x = 205,979.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.