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Finding the Fourth Proportional to 76,844, 106,046.34 and 43,310

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Solution

The fourth proportional to 76,844, 106,046.34 and 43,310 is: 59,768.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,844 : 106,046.34 = 43,310 : x
  2. Step 2: Convert to fraction form
    76,844/106,046.34 = 43,310/x
  3. Step 3: Cross multiply
    76,844x = 106,046.34 × 43,310
  4. Step 4: Simplify right side
    76,844x = 4,592,866,985.40
  5. Step 5: Solve for x
    x = 4,592,866,985.40/76,844
  6. Step 6: Final answer
    x = 59,768.71

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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.