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Finding the Fourth Proportional to 103,457.21, 142,645.70 and 80,493.71

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Solution

The fourth proportional to 103,457.21, 142,645.70 and 80,493.71 is: 110,983.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,457.21 : 142,645.70 = 80,493.71 : x
  2. Step 2: Convert to fraction form
    103,457.21/142,645.70 = 80,493.71/x
  3. Step 3: Cross multiply
    103,457.21x = 142,645.70 × 80,493.71
  4. Step 4: Simplify right side
    103,457.21x = 11,482,080,492.85
  5. Step 5: Solve for x
    x = 11,482,080,492.85/103,457.21
  6. Step 6: Final answer
    x = 110,983.87

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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.