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Finding the Fourth Proportional to 121,409.10, 182,113.65 and 114,021.90

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Solution

The fourth proportional to 121,409.10, 182,113.65 and 114,021.90 is: 171,032.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,409.10 : 182,113.65 = 114,021.90 : x
  2. Step 2: Convert to fraction form
    121,409.10/182,113.65 = 114,021.90/x
  3. Step 3: Cross multiply
    121,409.10x = 182,113.65 × 114,021.90
  4. Step 4: Simplify right side
    121,409.10x = 20,764,944,388.94
  5. Step 5: Solve for x
    x = 20,764,944,388.94/121,409.10
  6. Step 6: Final answer
    x = 171,032.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.