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Finding the Fourth Proportional to 223,429, 308,337.94 and 121,461.32

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Solution

The fourth proportional to 223,429, 308,337.94 and 121,461.32 is: 167,619.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,429 : 308,337.94 = 121,461.32 : x
  2. Step 2: Convert to fraction form
    223,429/308,337.94 = 121,461.32/x
  3. Step 3: Cross multiply
    223,429x = 308,337.94 × 121,461.32
  4. Step 4: Simplify right side
    223,429x = 37,451,133,198.48
  5. Step 5: Solve for x
    x = 37,451,133,198.48/223,429
  6. Step 6: Final answer
    x = 167,619.84

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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.