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Finding the Fourth Proportional to 222,045.75, 306,423.14 and 121,443.75

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Solution

The fourth proportional to 222,045.75, 306,423.14 and 121,443.75 is: 167,592.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,045.75 : 306,423.14 = 121,443.75 : x
  2. Step 2: Convert to fraction form
    222,045.75/306,423.14 = 121,443.75/x
  3. Step 3: Cross multiply
    222,045.75x = 306,423.14 × 121,443.75
  4. Step 4: Simplify right side
    222,045.75x = 37,213,174,601.16
  5. Step 5: Solve for x
    x = 37,213,174,601.16/222,045.75
  6. Step 6: Final answer
    x = 167,592.38

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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.