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Finding the Fourth Proportional to 105,257.88, 157,941.50 and 80,457.30

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Solution

The fourth proportional to 105,257.88, 157,941.50 and 80,457.30 is: 120,727.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,257.88 : 157,941.50 = 80,457.30 : x
  2. Step 2: Convert to fraction form
    105,257.88/157,941.50 = 80,457.30/x
  3. Step 3: Cross multiply
    105,257.88x = 157,941.50 × 80,457.30
  4. Step 4: Simplify right side
    105,257.88x = 12,707,546,245.66
  5. Step 5: Solve for x
    x = 12,707,546,245.66/105,257.88
  6. Step 6: Final answer
    x = 120,727.74

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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.