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Finding the Fourth Proportional to 273,802.50, 410,703.75 and 86,814

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Solution

The fourth proportional to 273,802.50, 410,703.75 and 86,814 is: 130,221

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,802.50 : 410,703.75 = 86,814 : x
  2. Step 2: Convert to fraction form
    273,802.50/410,703.75 = 86,814/x
  3. Step 3: Cross multiply
    273,802.50x = 410,703.75 × 86,814
  4. Step 4: Simplify right side
    273,802.50x = 35,654,835,352.50
  5. Step 5: Solve for x
    x = 35,654,835,352.50/273,802.50
  6. Step 6: Final answer
    x = 130,221

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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.