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Finding the Fourth Proportional to 116,460.64, 160,721.38 and 65,489.41

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Solution

The fourth proportional to 116,460.64, 160,721.38 and 65,489.41 is: 90,378.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,460.64 : 160,721.38 = 65,489.41 : x
  2. Step 2: Convert to fraction form
    116,460.64/160,721.38 = 65,489.41/x
  3. Step 3: Cross multiply
    116,460.64x = 160,721.38 × 65,489.41
  4. Step 4: Simplify right side
    116,460.64x = 10,525,548,357.07
  5. Step 5: Solve for x
    x = 10,525,548,357.07/116,460.64
  6. Step 6: Final answer
    x = 90,378.59

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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.