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Finding the Fourth Proportional to 221,697, 305,949.42 and 121,101.48

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Solution

The fourth proportional to 221,697, 305,949.42 and 121,101.48 is: 167,124.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,697 : 305,949.42 = 121,101.48 : x
  2. Step 2: Convert to fraction form
    221,697/305,949.42 = 121,101.48/x
  3. Step 3: Cross multiply
    221,697x = 305,949.42 × 121,101.48
  4. Step 4: Simplify right side
    221,697x = 37,050,927,567.14
  5. Step 5: Solve for x
    x = 37,050,927,567.14/221,697
  6. Step 6: Final answer
    x = 167,124.17

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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.