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Finding the Fourth Proportional to 116,172.54, 160,019.38 and 82,122.47

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Solution

The fourth proportional to 116,172.54, 160,019.38 and 82,122.47 is: 113,117.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,172.54 : 160,019.38 = 82,122.47 : x
  2. Step 2: Convert to fraction form
    116,172.54/160,019.38 = 82,122.47/x
  3. Step 3: Cross multiply
    116,172.54x = 160,019.38 × 82,122.47
  4. Step 4: Simplify right side
    116,172.54x = 13,141,186,186.04
  5. Step 5: Solve for x
    x = 13,141,186,186.04/116,172.54
  6. Step 6: Final answer
    x = 113,117.84

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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.