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Finding the Fourth Proportional to 160,640.88, 221,693.25 and 89,019.33

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Solution

The fourth proportional to 160,640.88, 221,693.25 and 89,019.33 is: 122,851.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,640.88 : 221,693.25 = 89,019.33 : x
  2. Step 2: Convert to fraction form
    160,640.88/221,693.25 = 89,019.33/x
  3. Step 3: Cross multiply
    160,640.88x = 221,693.25 × 89,019.33
  4. Step 4: Simplify right side
    160,640.88x = 19,734,984,580.52
  5. Step 5: Solve for x
    x = 19,734,984,580.52/160,640.88
  6. Step 6: Final answer
    x = 122,851.57

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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.