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Finding the Fourth Proportional to 160,784.36, 221,881.16 and 89,164.56

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Solution

The fourth proportional to 160,784.36, 221,881.16 and 89,164.56 is: 123,046.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,784.36 : 221,881.16 = 89,164.56 : x
  2. Step 2: Convert to fraction form
    160,784.36/221,881.16 = 89,164.56/x
  3. Step 3: Cross multiply
    160,784.36x = 221,881.16 × 89,164.56
  4. Step 4: Simplify right side
    160,784.36x = 19,783,936,003.69
  5. Step 5: Solve for x
    x = 19,783,936,003.69/160,784.36
  6. Step 6: Final answer
    x = 123,046.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.