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Finding the Fourth Proportional to 116,100, 160,218 and 65,802.24

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Solution

The fourth proportional to 116,100, 160,218 and 65,802.24 is: 90,807.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,100 : 160,218 = 65,802.24 : x
  2. Step 2: Convert to fraction form
    116,100/160,218 = 65,802.24/x
  3. Step 3: Cross multiply
    116,100x = 160,218 × 65,802.24
  4. Step 4: Simplify right side
    116,100x = 10,542,703,288.32
  5. Step 5: Solve for x
    x = 10,542,703,288.32/116,100
  6. Step 6: Final answer
    x = 90,807.09

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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.