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Finding the Fourth Proportional to 203,143.47, 304,831.89 and 158,645.31

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Solution

The fourth proportional to 203,143.47, 304,831.89 and 158,645.31 is: 238,059.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,143.47 : 304,831.89 = 158,645.31 : x
  2. Step 2: Convert to fraction form
    203,143.47/304,831.89 = 158,645.31/x
  3. Step 3: Cross multiply
    203,143.47x = 304,831.89 × 158,645.31
  4. Step 4: Simplify right side
    203,143.47x = 48,360,149,686.94
  5. Step 5: Solve for x
    x = 48,360,149,686.94/203,143.47
  6. Step 6: Final answer
    x = 238,059.09

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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.