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Finding the Fourth Proportional to 77,546, 116,319 and 22,142

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Solution

The fourth proportional to 77,546, 116,319 and 22,142 is: 33,213

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,546 : 116,319 = 22,142 : x
  2. Step 2: Convert to fraction form
    77,546/116,319 = 22,142/x
  3. Step 3: Cross multiply
    77,546x = 116,319 × 22,142
  4. Step 4: Simplify right side
    77,546x = 2,575,535,298
  5. Step 5: Solve for x
    x = 2,575,535,298/77,546
  6. Step 6: Final answer
    x = 33,213

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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.