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Finding the Fourth Proportional to 272,898.50, 409,347.77 and 83,351.21

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Solution

The fourth proportional to 272,898.50, 409,347.77 and 83,351.21 is: 125,026.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,898.50 : 409,347.77 = 83,351.21 : x
  2. Step 2: Convert to fraction form
    272,898.50/409,347.77 = 83,351.21/x
  3. Step 3: Cross multiply
    272,898.50x = 409,347.77 × 83,351.21
  4. Step 4: Simplify right side
    272,898.50x = 34,119,629,476.81
  5. Step 5: Solve for x
    x = 34,119,629,476.81/272,898.50
  6. Step 6: Final answer
    x = 125,026.81

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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.