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Finding the Fourth Proportional to 76,855, 106,059.90 and 43,321

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Solution

The fourth proportional to 76,855, 106,059.90 and 43,321 is: 59,782.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,855 : 106,059.90 = 43,321 : x
  2. Step 2: Convert to fraction form
    76,855/106,059.90 = 43,321/x
  3. Step 3: Cross multiply
    76,855x = 106,059.90 × 43,321
  4. Step 4: Simplify right side
    76,855x = 4,594,620,927.90
  5. Step 5: Solve for x
    x = 4,594,620,927.90/76,855
  6. Step 6: Final answer
    x = 59,782.98

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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.