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Finding the Fourth Proportional to 76,789, 105,969 and 43,255

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Solution

The fourth proportional to 76,789, 105,969 and 43,255 is: 59,692.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,789 : 105,969 = 43,255 : x
  2. Step 2: Convert to fraction form
    76,789/105,969 = 43,255/x
  3. Step 3: Cross multiply
    76,789x = 105,969 × 43,255
  4. Step 4: Simplify right side
    76,789x = 4,583,689,095
  5. Step 5: Solve for x
    x = 4,583,689,095/76,789
  6. Step 6: Final answer
    x = 59,692.00

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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.