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Finding the Fourth Proportional to 129,654, 178,922.52 and 73,065.38

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Solution

The fourth proportional to 129,654, 178,922.52 and 73,065.38 is: 100,830.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,654 : 178,922.52 = 73,065.38 : x
  2. Step 2: Convert to fraction form
    129,654/178,922.52 = 73,065.38/x
  3. Step 3: Cross multiply
    129,654x = 178,922.52 × 73,065.38
  4. Step 4: Simplify right side
    129,654x = 13,073,041,019.75
  5. Step 5: Solve for x
    x = 13,073,041,019.75/129,654
  6. Step 6: Final answer
    x = 100,830.22

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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.