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Finding the Fourth Proportional to 223,109.65, 307,889.59 and 121,133.11

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Solution

The fourth proportional to 223,109.65, 307,889.59 and 121,133.11 is: 167,162.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,109.65 : 307,889.59 = 121,133.11 : x
  2. Step 2: Convert to fraction form
    223,109.65/307,889.59 = 121,133.11/x
  3. Step 3: Cross multiply
    223,109.65x = 307,889.59 × 121,133.11
  4. Step 4: Simplify right side
    223,109.65x = 37,295,623,573.32
  5. Step 5: Solve for x
    x = 37,295,623,573.32/223,109.65
  6. Step 6: Final answer
    x = 167,162.75

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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.