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Finding the Fourth Proportional to 116,460.89, 160,721.74 and 65,489.66

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Solution

The fourth proportional to 116,460.89, 160,721.74 and 65,489.66 is: 90,378.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,460.89 : 160,721.74 = 65,489.66 : x
  2. Step 2: Convert to fraction form
    116,460.89/160,721.74 = 65,489.66/x
  3. Step 3: Cross multiply
    116,460.89x = 160,721.74 × 65,489.66
  4. Step 4: Simplify right side
    116,460.89x = 10,525,612,181.56
  5. Step 5: Solve for x
    x = 10,525,612,181.56/116,460.89
  6. Step 6: Final answer
    x = 90,378.95

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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.