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Finding the Fourth Proportional to 208,971.42, 288,454.14 and 124,087.88

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Solution

The fourth proportional to 208,971.42, 288,454.14 and 124,087.88 is: 171,284.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,971.42 : 288,454.14 = 124,087.88 : x
  2. Step 2: Convert to fraction form
    208,971.42/288,454.14 = 124,087.88/x
  3. Step 3: Cross multiply
    208,971.42x = 288,454.14 × 124,087.88
  4. Step 4: Simplify right side
    208,971.42x = 35,793,662,709.82
  5. Step 5: Solve for x
    x = 35,793,662,709.82/208,971.42
  6. Step 6: Final answer
    x = 171,284.97

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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.