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Finding the Fourth Proportional to 221,945, 306,291.66 and 121,349.48

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Solution

The fourth proportional to 221,945, 306,291.66 and 121,349.48 is: 167,466.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,945 : 306,291.66 = 121,349.48 : x
  2. Step 2: Convert to fraction form
    221,945/306,291.66 = 121,349.48/x
  3. Step 3: Cross multiply
    221,945x = 306,291.66 × 121,349.48
  4. Step 4: Simplify right side
    221,945x = 37,168,333,669.34
  5. Step 5: Solve for x
    x = 37,168,333,669.34/221,945
  6. Step 6: Final answer
    x = 167,466.42

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1.5x scale

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.