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Finding the Fourth Proportional to 205,011.04, 307,518.56 and 71,894.56

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Solution

The fourth proportional to 205,011.04, 307,518.56 and 71,894.56 is: 107,842.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,011.04 : 307,518.56 = 71,894.56 : x
  2. Step 2: Convert to fraction form
    205,011.04/307,518.56 = 71,894.56/x
  3. Step 3: Cross multiply
    205,011.04x = 307,518.56 × 71,894.56
  4. Step 4: Simplify right side
    205,011.04x = 22,108,911,563.03
  5. Step 5: Solve for x
    x = 22,108,911,563.03/205,011.04
  6. Step 6: Final answer
    x = 107,842.54

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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.