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Finding the Fourth Proportional to 160,757.92, 221,842.16 and 89,137.28

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Solution

The fourth proportional to 160,757.92, 221,842.16 and 89,137.28 is: 123,007.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,757.92 : 221,842.16 = 89,137.28 : x
  2. Step 2: Convert to fraction form
    160,757.92/221,842.16 = 89,137.28/x
  3. Step 3: Cross multiply
    160,757.92x = 221,842.16 × 89,137.28
  4. Step 4: Simplify right side
    160,757.92x = 19,774,406,731.72
  5. Step 5: Solve for x
    x = 19,774,406,731.72/160,757.92
  6. Step 6: Final answer
    x = 123,007.36

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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.