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Finding the Fourth Proportional to 77,892.84, 116,883 and 31,149.36

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Solution

The fourth proportional to 77,892.84, 116,883 and 31,149.36 is: 46,741.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,892.84 : 116,883 = 31,149.36 : x
  2. Step 2: Convert to fraction form
    77,892.84/116,883 = 31,149.36/x
  3. Step 3: Cross multiply
    77,892.84x = 116,883 × 31,149.36
  4. Step 4: Simplify right side
    77,892.84x = 3,640,830,644.88
  5. Step 5: Solve for x
    x = 3,640,830,644.88/77,892.84
  6. Step 6: Final answer
    x = 46,741.53

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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.