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Finding the Fourth Proportional to 223,113.42, 307,896.42 and 122,511.42

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Solution

The fourth proportional to 223,113.42, 307,896.42 and 122,511.42 is: 169,065.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,113.42 : 307,896.42 = 122,511.42 : x
  2. Step 2: Convert to fraction form
    223,113.42/307,896.42 = 122,511.42/x
  3. Step 3: Cross multiply
    223,113.42x = 307,896.42 × 122,511.42
  4. Step 4: Simplify right side
    223,113.42x = 37,720,827,627.12
  5. Step 5: Solve for x
    x = 37,720,827,627.12/223,113.42
  6. Step 6: Final answer
    x = 169,065.70

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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.