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Finding the Fourth Proportional to 137,539.72, 206,320.56 and 58,654.66

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Solution

The fourth proportional to 137,539.72, 206,320.56 and 58,654.66 is: 87,986.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,539.72 : 206,320.56 = 58,654.66 : x
  2. Step 2: Convert to fraction form
    137,539.72/206,320.56 = 58,654.66/x
  3. Step 3: Cross multiply
    137,539.72x = 206,320.56 × 58,654.66
  4. Step 4: Simplify right side
    137,539.72x = 12,101,662,297.81
  5. Step 5: Solve for x
    x = 12,101,662,297.81/137,539.72
  6. Step 6: Final answer
    x = 87,986.67

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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.