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Finding the Fourth Proportional to 223,412.65, 308,308.89 and 121,438.11

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Solution

The fourth proportional to 223,412.65, 308,308.89 and 121,438.11 is: 167,584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,412.65 : 308,308.89 = 121,438.11 : x
  2. Step 2: Convert to fraction form
    223,412.65/308,308.89 = 121,438.11/x
  3. Step 3: Cross multiply
    223,412.65x = 308,308.89 × 121,438.11
  4. Step 4: Simplify right side
    223,412.65x = 37,440,448,897.80
  5. Step 5: Solve for x
    x = 37,440,448,897.80/223,412.65
  6. Step 6: Final answer
    x = 167,584.28

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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.