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Finding the Fourth Proportional to 273,945, 410,917.65 and 86,956.50

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Solution

The fourth proportional to 273,945, 410,917.65 and 86,956.50 is: 130,434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,945 : 410,917.65 = 86,956.50 : x
  2. Step 2: Convert to fraction form
    273,945/410,917.65 = 86,956.50/x
  3. Step 3: Cross multiply
    273,945x = 410,917.65 × 86,956.50
  4. Step 4: Simplify right side
    273,945x = 35,731,960,632.23
  5. Step 5: Solve for x
    x = 35,731,960,632.23/273,945
  6. Step 6: Final answer
    x = 130,434.80

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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.