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Finding the Fourth Proportional to 119,261.76, 164,512.70 and 74,472

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Solution

The fourth proportional to 119,261.76, 164,512.70 and 74,472 is: 102,728.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,261.76 : 164,512.70 = 74,472 : x
  2. Step 2: Convert to fraction form
    119,261.76/164,512.70 = 74,472/x
  3. Step 3: Cross multiply
    119,261.76x = 164,512.70 × 74,472
  4. Step 4: Simplify right side
    119,261.76x = 12,251,589,608.22
  5. Step 5: Solve for x
    x = 12,251,589,608.22/119,261.76
  6. Step 6: Final answer
    x = 102,728.57

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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.