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Finding the Fourth Proportional to 76,877, 106,091.88 and 43,343

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Solution

The fourth proportional to 76,877, 106,091.88 and 43,343 is: 59,814.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,877 : 106,091.88 = 43,343 : x
  2. Step 2: Convert to fraction form
    76,877/106,091.88 = 43,343/x
  3. Step 3: Cross multiply
    76,877x = 106,091.88 × 43,343
  4. Step 4: Simplify right side
    76,877x = 4,598,340,354.84
  5. Step 5: Solve for x
    x = 4,598,340,354.84/76,877
  6. Step 6: Final answer
    x = 59,814.25

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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.