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Finding the Fourth Proportional to 223,111.89, 307,894.38 and 122,509.89

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Solution

The fourth proportional to 223,111.89, 307,894.38 and 122,509.89 is: 169,063.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,111.89 : 307,894.38 = 122,509.89 : x
  2. Step 2: Convert to fraction form
    223,111.89/307,894.38 = 122,509.89/x
  3. Step 3: Cross multiply
    223,111.89x = 307,894.38 × 122,509.89
  4. Step 4: Simplify right side
    223,111.89x = 37,720,106,625.42
  5. Step 5: Solve for x
    x = 37,720,106,625.42/223,111.89
  6. Step 6: Final answer
    x = 169,063.63

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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.