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Finding the Fourth Proportional to 205,420.40, 307,871.40 and 100,012.40

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Solution

The fourth proportional to 205,420.40, 307,871.40 and 100,012.40 is: 149,892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,420.40 : 307,871.40 = 100,012.40 : x
  2. Step 2: Convert to fraction form
    205,420.40/307,871.40 = 100,012.40/x
  3. Step 3: Cross multiply
    205,420.40x = 307,871.40 × 100,012.40
  4. Step 4: Simplify right side
    205,420.40x = 30,790,957,605.36
  5. Step 5: Solve for x
    x = 30,790,957,605.36/205,420.40
  6. Step 6: Final answer
    x = 149,892.40

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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.