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Finding the Fourth Proportional to 84,764, 127,168.68 and 29,360

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Solution

The fourth proportional to 84,764, 127,168.68 and 29,360 is: 44,047.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,764 : 127,168.68 = 29,360 : x
  2. Step 2: Convert to fraction form
    84,764/127,168.68 = 29,360/x
  3. Step 3: Cross multiply
    84,764x = 127,168.68 × 29,360
  4. Step 4: Simplify right side
    84,764x = 3,733,672,444.80
  5. Step 5: Solve for x
    x = 3,733,672,444.80/84,764
  6. Step 6: Final answer
    x = 44,047.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.