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Finding the Fourth Proportional to 218,653.57, 301,742.99 and 123,161.77

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Solution

The fourth proportional to 218,653.57, 301,742.99 and 123,161.77 is: 169,963.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,653.57 : 301,742.99 = 123,161.77 : x
  2. Step 2: Convert to fraction form
    218,653.57/301,742.99 = 123,161.77/x
  3. Step 3: Cross multiply
    218,653.57x = 301,742.99 × 123,161.77
  4. Step 4: Simplify right side
    218,653.57x = 37,163,200,733.49
  5. Step 5: Solve for x
    x = 37,163,200,733.49/218,653.57
  6. Step 6: Final answer
    x = 169,963.84

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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.