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Finding the Fourth Proportional to 137,771.96, 206,465.47 and 74,455.58

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Solution

The fourth proportional to 137,771.96, 206,465.47 and 74,455.58 is: 111,579.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,771.96 : 206,465.47 = 74,455.58 : x
  2. Step 2: Convert to fraction form
    137,771.96/206,465.47 = 74,455.58/x
  3. Step 3: Cross multiply
    137,771.96x = 206,465.47 × 74,455.58
  4. Step 4: Simplify right side
    137,771.96x = 15,372,506,648.85
  5. Step 5: Solve for x
    x = 15,372,506,648.85/137,771.96
  6. Step 6: Final answer
    x = 111,579.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.