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Finding the Fourth Proportional to 131,049, 180,847.74 and 71,433

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Solution

The fourth proportional to 131,049, 180,847.74 and 71,433 is: 98,577.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,049 : 180,847.74 = 71,433 : x
  2. Step 2: Convert to fraction form
    131,049/180,847.74 = 71,433/x
  3. Step 3: Cross multiply
    131,049x = 180,847.74 × 71,433
  4. Step 4: Simplify right side
    131,049x = 12,918,496,611.42
  5. Step 5: Solve for x
    x = 12,918,496,611.42/131,049
  6. Step 6: Final answer
    x = 98,577.61

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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.