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Finding the Fourth Proportional to 153,831.44, 212,287.56 and 86,763.44

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Solution

The fourth proportional to 153,831.44, 212,287.56 and 86,763.44 is: 119,733.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,831.44 : 212,287.56 = 86,763.44 : x
  2. Step 2: Convert to fraction form
    153,831.44/212,287.56 = 86,763.44/x
  3. Step 3: Cross multiply
    153,831.44x = 212,287.56 × 86,763.44
  4. Step 4: Simplify right side
    153,831.44x = 18,418,798,974.81
  5. Step 5: Solve for x
    x = 18,418,798,974.81/153,831.44
  6. Step 6: Final answer
    x = 119,733.64

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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.