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Finding the Fourth Proportional to 127,170, 175,494.60 and 76,869

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Solution

The fourth proportional to 127,170, 175,494.60 and 76,869 is: 106,079.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,170 : 175,494.60 = 76,869 : x
  2. Step 2: Convert to fraction form
    127,170/175,494.60 = 76,869/x
  3. Step 3: Cross multiply
    127,170x = 175,494.60 × 76,869
  4. Step 4: Simplify right side
    127,170x = 13,490,094,407.40
  5. Step 5: Solve for x
    x = 13,490,094,407.40/127,170
  6. Step 6: Final answer
    x = 106,079.22

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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.