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Finding the Fourth Proportional to 157,057.26, 216,742.53 and 85,441.14

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Solution

The fourth proportional to 157,057.26, 216,742.53 and 85,441.14 is: 117,910.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,057.26 : 216,742.53 = 85,441.14 : x
  2. Step 2: Convert to fraction form
    157,057.26/216,742.53 = 85,441.14/x
  3. Step 3: Cross multiply
    157,057.26x = 216,742.53 × 85,441.14
  4. Step 4: Simplify right side
    157,057.26x = 18,518,728,849.68
  5. Step 5: Solve for x
    x = 18,518,728,849.68/157,057.26
  6. Step 6: Final answer
    x = 117,910.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.