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Finding the Fourth Proportional to 208,899.31, 288,250.62 and 119,458.03

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Solution

The fourth proportional to 208,899.31, 288,250.62 and 119,458.03 is: 164,834.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,899.31 : 288,250.62 = 119,458.03 : x
  2. Step 2: Convert to fraction form
    208,899.31/288,250.62 = 119,458.03/x
  3. Step 3: Cross multiply
    208,899.31x = 288,250.62 × 119,458.03
  4. Step 4: Simplify right side
    208,899.31x = 34,433,851,211.48
  5. Step 5: Solve for x
    x = 34,433,851,211.48/208,899.31
  6. Step 6: Final answer
    x = 164,834.68

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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.