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Finding the Fourth Proportional to 160,777.99, 221,886.17 and 89,172.01

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Solution

The fourth proportional to 160,777.99, 221,886.17 and 89,172.01 is: 123,064.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,777.99 : 221,886.17 = 89,172.01 : x
  2. Step 2: Convert to fraction form
    160,777.99/221,886.17 = 89,172.01/x
  3. Step 3: Cross multiply
    160,777.99x = 221,886.17 × 89,172.01
  4. Step 4: Simplify right side
    160,777.99x = 19,786,035,770.10
  5. Step 5: Solve for x
    x = 19,786,035,770.10/160,777.99
  6. Step 6: Final answer
    x = 123,064.33

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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.