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Finding the Fourth Proportional to 286,756.50, 430,106.79 and 87,078.62

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Solution

The fourth proportional to 286,756.50, 430,106.79 and 87,078.62 is: 130,609.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,756.50 : 430,106.79 = 87,078.62 : x
  2. Step 2: Convert to fraction form
    286,756.50/430,106.79 = 87,078.62/x
  3. Step 3: Cross multiply
    286,756.50x = 430,106.79 × 87,078.62
  4. Step 4: Simplify right side
    286,756.50x = 37,453,105,917.97
  5. Step 5: Solve for x
    x = 37,453,105,917.97/286,756.50
  6. Step 6: Final answer
    x = 130,609.44

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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.