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Finding the Fourth Proportional to 160,802.92, 221,921.64 and 89,206

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Solution

The fourth proportional to 160,802.92, 221,921.64 and 89,206 is: 123,111.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,802.92 : 221,921.64 = 89,206 : x
  2. Step 2: Convert to fraction form
    160,802.92/221,921.64 = 89,206/x
  3. Step 3: Cross multiply
    160,802.92x = 221,921.64 × 89,206
  4. Step 4: Simplify right side
    160,802.92x = 19,796,741,817.84
  5. Step 5: Solve for x
    x = 19,796,741,817.84/160,802.92
  6. Step 6: Final answer
    x = 123,111.83

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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.