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Finding the Fourth Proportional to 221,919.75, 306,250.47 and 121,317.75

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Solution

The fourth proportional to 221,919.75, 306,250.47 and 121,317.75 is: 167,419.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,919.75 : 306,250.47 = 121,317.75 : x
  2. Step 2: Convert to fraction form
    221,919.75/306,250.47 = 121,317.75/x
  3. Step 3: Cross multiply
    221,919.75x = 306,250.47 × 121,317.75
  4. Step 4: Simplify right side
    221,919.75x = 37,153,617,956.84
  5. Step 5: Solve for x
    x = 37,153,617,956.84/221,919.75
  6. Step 6: Final answer
    x = 167,419.16

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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.