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Finding the Fourth Proportional to 153,991.73, 212,608.60 and 137,831.02

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Solution

The fourth proportional to 153,991.73, 212,608.60 and 137,831.02 is: 190,296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,991.73 : 212,608.60 = 137,831.02 : x
  2. Step 2: Convert to fraction form
    153,991.73/212,608.60 = 137,831.02/x
  3. Step 3: Cross multiply
    153,991.73x = 212,608.60 × 137,831.02
  4. Step 4: Simplify right side
    153,991.73x = 29,304,059,322.67
  5. Step 5: Solve for x
    x = 29,304,059,322.67/153,991.73
  6. Step 6: Final answer
    x = 190,296.32

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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.