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Finding the Fourth Proportional to 223,807.32, 308,844.45 and 121,832.94

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Solution

The fourth proportional to 223,807.32, 308,844.45 and 121,832.94 is: 168,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,807.32 : 308,844.45 = 121,832.94 : x
  2. Step 2: Convert to fraction form
    223,807.32/308,844.45 = 121,832.94/x
  3. Step 3: Cross multiply
    223,807.32x = 308,844.45 × 121,832.94
  4. Step 4: Simplify right side
    223,807.32x = 37,627,427,346.18
  5. Step 5: Solve for x
    x = 37,627,427,346.18/223,807.32
  6. Step 6: Final answer
    x = 168,124.20

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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.