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Finding the Fourth Proportional to 223,779.82, 308,822.71 and 121,811.93

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Solution

The fourth proportional to 223,779.82, 308,822.71 and 121,811.93 is: 168,104.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,779.82 : 308,822.71 = 121,811.93 : x
  2. Step 2: Convert to fraction form
    223,779.82/308,822.71 = 121,811.93/x
  3. Step 3: Cross multiply
    223,779.82x = 308,822.71 × 121,811.93
  4. Step 4: Simplify right side
    223,779.82x = 37,618,290,099.17
  5. Step 5: Solve for x
    x = 37,618,290,099.17/223,779.82
  6. Step 6: Final answer
    x = 168,104.03

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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.