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Finding the Fourth Proportional to 76,876.88, 106,090.11 and 43,342.88

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Solution

The fourth proportional to 76,876.88, 106,090.11 and 43,342.88 is: 59,813.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,876.88 : 106,090.11 = 43,342.88 : x
  2. Step 2: Convert to fraction form
    76,876.88/106,090.11 = 43,342.88/x
  3. Step 3: Cross multiply
    76,876.88x = 106,090.11 × 43,342.88
  4. Step 4: Simplify right side
    76,876.88x = 4,598,250,376.47
  5. Step 5: Solve for x
    x = 4,598,250,376.47/76,876.88
  6. Step 6: Final answer
    x = 59,813.18

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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.