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Finding the Fourth Proportional to 222,328.81, 306,812.63 and 120,354.47

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Solution

The fourth proportional to 222,328.81, 306,812.63 and 120,354.47 is: 166,088.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,328.81 : 306,812.63 = 120,354.47 : x
  2. Step 2: Convert to fraction form
    222,328.81/306,812.63 = 120,354.47/x
  3. Step 3: Cross multiply
    222,328.81x = 306,812.63 × 120,354.47
  4. Step 4: Simplify right side
    222,328.81x = 36,926,269,337.12
  5. Step 5: Solve for x
    x = 36,926,269,337.12/222,328.81
  6. Step 6: Final answer
    x = 166,088.55

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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.