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Finding the Fourth Proportional to 222,243, 306,697.50 and 121,643.16

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Solution

The fourth proportional to 222,243, 306,697.50 and 121,643.16 is: 167,868.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,243 : 306,697.50 = 121,643.16 : x
  2. Step 2: Convert to fraction form
    222,243/306,697.50 = 121,643.16/x
  3. Step 3: Cross multiply
    222,243x = 306,697.50 × 121,643.16
  4. Step 4: Simplify right side
    222,243x = 37,307,653,064.10
  5. Step 5: Solve for x
    x = 37,307,653,064.10/222,243
  6. Step 6: Final answer
    x = 167,868.74

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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.