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Finding the Fourth Proportional to 203,831.16, 305,435.02 and 85,437.96

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Solution

The fourth proportional to 203,831.16, 305,435.02 and 85,437.96 is: 128,026.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,831.16 : 305,435.02 = 85,437.96 : x
  2. Step 2: Convert to fraction form
    203,831.16/305,435.02 = 85,437.96/x
  3. Step 3: Cross multiply
    203,831.16x = 305,435.02 × 85,437.96
  4. Step 4: Simplify right side
    203,831.16x = 26,095,745,021.36
  5. Step 5: Solve for x
    x = 26,095,745,021.36/203,831.16
  6. Step 6: Final answer
    x = 128,026.28

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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.