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Finding the Fourth Proportional to 208,856, 288,238.56 and 119,449.28

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Solution

The fourth proportional to 208,856, 288,238.56 and 119,449.28 is: 164,849.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,856 : 288,238.56 = 119,449.28 : x
  2. Step 2: Convert to fraction form
    208,856/288,238.56 = 119,449.28/x
  3. Step 3: Cross multiply
    208,856x = 288,238.56 × 119,449.28
  4. Step 4: Simplify right side
    208,856x = 34,429,888,460.24
  5. Step 5: Solve for x
    x = 34,429,888,460.24/208,856
  6. Step 6: Final answer
    x = 164,849.89

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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.