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Finding the Fourth Proportional to 218,699.68, 301,806.48 and 123,207.52

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Solution

The fourth proportional to 218,699.68, 301,806.48 and 123,207.52 is: 170,026.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,699.68 : 301,806.48 = 123,207.52 : x
  2. Step 2: Convert to fraction form
    218,699.68/301,806.48 = 123,207.52/x
  3. Step 3: Cross multiply
    218,699.68x = 301,806.48 × 123,207.52
  4. Step 4: Simplify right side
    218,699.68x = 37,184,827,920.73
  5. Step 5: Solve for x
    x = 37,184,827,920.73/218,699.68
  6. Step 6: Final answer
    x = 170,026.90

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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.