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Finding the Fourth Proportional to 160,137, 220,989.06 and 89,481

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Solution

The fourth proportional to 160,137, 220,989.06 and 89,481 is: 123,483.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,137 : 220,989.06 = 89,481 : x
  2. Step 2: Convert to fraction form
    160,137/220,989.06 = 89,481/x
  3. Step 3: Cross multiply
    160,137x = 220,989.06 × 89,481
  4. Step 4: Simplify right side
    160,137x = 19,774,322,077.86
  5. Step 5: Solve for x
    x = 19,774,322,077.86/160,137
  6. Step 6: Final answer
    x = 123,483.78

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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.