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Finding the Fourth Proportional to 160,978.45, 222,151.13 and 100,584.13

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Solution

The fourth proportional to 160,978.45, 222,151.13 and 100,584.13 is: 138,806.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,978.45 : 222,151.13 = 100,584.13 : x
  2. Step 2: Convert to fraction form
    160,978.45/222,151.13 = 100,584.13/x
  3. Step 3: Cross multiply
    160,978.45x = 222,151.13 × 100,584.13
  4. Step 4: Simplify right side
    160,978.45x = 22,344,878,139.57
  5. Step 5: Solve for x
    x = 22,344,878,139.57/160,978.45
  6. Step 6: Final answer
    x = 138,806.64

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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.