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Finding the Fourth Proportional to 223,412.42, 308,311.32 and 121,437.81

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Solution

The fourth proportional to 223,412.42, 308,311.32 and 121,437.81 is: 167,585.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,412.42 : 308,311.32 = 121,437.81 : x
  2. Step 2: Convert to fraction form
    223,412.42/308,311.32 = 121,437.81/x
  3. Step 3: Cross multiply
    223,412.42x = 308,311.32 × 121,437.81
  4. Step 4: Simplify right side
    223,412.42x = 37,440,651,499.01
  5. Step 5: Solve for x
    x = 37,440,651,499.01/223,412.42
  6. Step 6: Final answer
    x = 167,585.37

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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.