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Finding the Fourth Proportional to 218,538.86, 301,592.93 and 121,742.60

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Solution

The fourth proportional to 218,538.86, 301,592.93 and 121,742.60 is: 168,009.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,538.86 : 301,592.93 = 121,742.60 : x
  2. Step 2: Convert to fraction form
    218,538.86/301,592.93 = 121,742.60/x
  3. Step 3: Cross multiply
    218,538.86x = 301,592.93 × 121,742.60
  4. Step 4: Simplify right side
    218,538.86x = 36,716,707,439.82
  5. Step 5: Solve for x
    x = 36,716,707,439.82/218,538.86
  6. Step 6: Final answer
    x = 168,009.97

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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.