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Finding the Fourth Proportional to 76,546, 114,825.48 and 21,142

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Solution

The fourth proportional to 76,546, 114,825.48 and 21,142 is: 31,714.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,546 : 114,825.48 = 21,142 : x
  2. Step 2: Convert to fraction form
    76,546/114,825.48 = 21,142/x
  3. Step 3: Cross multiply
    76,546x = 114,825.48 × 21,142
  4. Step 4: Simplify right side
    76,546x = 2,427,640,298.16
  5. Step 5: Solve for x
    x = 2,427,640,298.16/76,546
  6. Step 6: Final answer
    x = 31,714.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.