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Finding the Fourth Proportional to 160,697, 221,738.58 and 89,077

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Solution

The fourth proportional to 160,697, 221,738.58 and 89,077 is: 122,913.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,697 : 221,738.58 = 89,077 : x
  2. Step 2: Convert to fraction form
    160,697/221,738.58 = 89,077/x
  3. Step 3: Cross multiply
    160,697x = 221,738.58 × 89,077
  4. Step 4: Simplify right side
    160,697x = 19,751,807,490.66
  5. Step 5: Solve for x
    x = 19,751,807,490.66/160,697
  6. Step 6: Final answer
    x = 122,913.36

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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.