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Finding the Fourth Proportional to 160,757.82, 221,845.41 and 89,136

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Solution

The fourth proportional to 160,757.82, 221,845.41 and 89,136 is: 123,007.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,757.82 : 221,845.41 = 89,136 : x
  2. Step 2: Convert to fraction form
    160,757.82/221,845.41 = 89,136/x
  3. Step 3: Cross multiply
    160,757.82x = 221,845.41 × 89,136
  4. Step 4: Simplify right side
    160,757.82x = 19,774,412,465.76
  5. Step 5: Solve for x
    x = 19,774,412,465.76/160,757.82
  6. Step 6: Final answer
    x = 123,007.47

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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.