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Finding the Fourth Proportional to 129,701.96, 178,989 and 73,113.34

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Solution

The fourth proportional to 129,701.96, 178,989 and 73,113.34 is: 100,896.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,701.96 : 178,989 = 73,113.34 : x
  2. Step 2: Convert to fraction form
    129,701.96/178,989 = 73,113.34/x
  3. Step 3: Cross multiply
    129,701.96x = 178,989 × 73,113.34
  4. Step 4: Simplify right side
    129,701.96x = 13,086,482,718.32
  5. Step 5: Solve for x
    x = 13,086,482,718.32/129,701.96
  6. Step 6: Final answer
    x = 100,896.57

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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.