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Finding the Fourth Proportional to 208,789.63, 288,130.45 and 113,296.32

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Solution

The fourth proportional to 208,789.63, 288,130.45 and 113,296.32 is: 156,349.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,789.63 : 288,130.45 = 113,296.32 : x
  2. Step 2: Convert to fraction form
    208,789.63/288,130.45 = 113,296.32/x
  3. Step 3: Cross multiply
    208,789.63x = 288,130.45 × 113,296.32
  4. Step 4: Simplify right side
    208,789.63x = 32,644,119,664.94
  5. Step 5: Solve for x
    x = 32,644,119,664.94/208,789.63
  6. Step 6: Final answer
    x = 156,349.33

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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.