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Finding the Fourth Proportional to 129,596.51, 178,866.08 and 102,942.45

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Solution

The fourth proportional to 129,596.51, 178,866.08 and 102,942.45 is: 142,078.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,596.51 : 178,866.08 = 102,942.45 : x
  2. Step 2: Convert to fraction form
    129,596.51/178,866.08 = 102,942.45/x
  3. Step 3: Cross multiply
    129,596.51x = 178,866.08 × 102,942.45
  4. Step 4: Simplify right side
    129,596.51x = 18,412,911,982.38
  5. Step 5: Solve for x
    x = 18,412,911,982.38/129,596.51
  6. Step 6: Final answer
    x = 142,078.77

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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.