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Finding the Fourth Proportional to 159,777, 220,492.26 and 89,121

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Solution

The fourth proportional to 159,777, 220,492.26 and 89,121 is: 122,986.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,777 : 220,492.26 = 89,121 : x
  2. Step 2: Convert to fraction form
    159,777/220,492.26 = 89,121/x
  3. Step 3: Cross multiply
    159,777x = 220,492.26 × 89,121
  4. Step 4: Simplify right side
    159,777x = 19,650,490,703.46
  5. Step 5: Solve for x
    x = 19,650,490,703.46/159,777
  6. Step 6: Final answer
    x = 122,986.98

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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.