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Finding the Fourth Proportional to 160,722.48, 221,796 and 89,102.52

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Solution

The fourth proportional to 160,722.48, 221,796 and 89,102.52 is: 122,960.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,722.48 : 221,796 = 89,102.52 : x
  2. Step 2: Convert to fraction form
    160,722.48/221,796 = 89,102.52/x
  3. Step 3: Cross multiply
    160,722.48x = 221,796 × 89,102.52
  4. Step 4: Simplify right side
    160,722.48x = 19,762,582,525.92
  5. Step 5: Solve for x
    x = 19,762,582,525.92/160,722.48
  6. Step 6: Final answer
    x = 122,960.91

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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.