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Finding the Fourth Proportional to 137,831.42, 206,345.46 and 102,449.45

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Solution

The fourth proportional to 137,831.42, 206,345.46 and 102,449.45 is: 153,375.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,831.42 : 206,345.46 = 102,449.45 : x
  2. Step 2: Convert to fraction form
    137,831.42/206,345.46 = 102,449.45/x
  3. Step 3: Cross multiply
    137,831.42x = 206,345.46 × 102,449.45
  4. Step 4: Simplify right side
    137,831.42x = 21,139,978,887.00
  5. Step 5: Solve for x
    x = 21,139,978,887.00/137,831.42
  6. Step 6: Final answer
    x = 153,375.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.