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Finding the Fourth Proportional to 208,967.85, 288,421.56 and 137,354.54

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Solution

The fourth proportional to 208,967.85, 288,421.56 and 137,354.54 is: 189,579.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,967.85 : 288,421.56 = 137,354.54 : x
  2. Step 2: Convert to fraction form
    208,967.85/288,421.56 = 137,354.54/x
  3. Step 3: Cross multiply
    208,967.85x = 288,421.56 × 137,354.54
  4. Step 4: Simplify right side
    208,967.85x = 39,616,009,257.77
  5. Step 5: Solve for x
    x = 39,616,009,257.77/208,967.85
  6. Step 6: Final answer
    x = 189,579.45

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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.