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Finding the Fourth Proportional to 199,989.42, 275,989.72 and 119,401.91

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Solution

The fourth proportional to 199,989.42, 275,989.72 and 119,401.91 is: 164,777.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,989.42 : 275,989.72 = 119,401.91 : x
  2. Step 2: Convert to fraction form
    199,989.42/275,989.72 = 119,401.91/x
  3. Step 3: Cross multiply
    199,989.42x = 275,989.72 × 119,401.91
  4. Step 4: Simplify right side
    199,989.42x = 32,953,700,696.84
  5. Step 5: Solve for x
    x = 32,953,700,696.84/199,989.42
  6. Step 6: Final answer
    x = 164,777.22

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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.