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Finding the Fourth Proportional to 223,475.68, 308,402.50 and 121,508

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Solution

The fourth proportional to 223,475.68, 308,402.50 and 121,508 is: 167,684.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,475.68 : 308,402.50 = 121,508 : x
  2. Step 2: Convert to fraction form
    223,475.68/308,402.50 = 121,508/x
  3. Step 3: Cross multiply
    223,475.68x = 308,402.50 × 121,508
  4. Step 4: Simplify right side
    223,475.68x = 37,473,370,970
  5. Step 5: Solve for x
    x = 37,473,370,970/223,475.68
  6. Step 6: Final answer
    x = 167,684.34

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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.