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Finding the Fourth Proportional to 205,417.35, 308,101.73 and 55,648.35

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Solution

The fourth proportional to 205,417.35, 308,101.73 and 55,648.35 is: 83,465.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,417.35 : 308,101.73 = 55,648.35 : x
  2. Step 2: Convert to fraction form
    205,417.35/308,101.73 = 55,648.35/x
  3. Step 3: Cross multiply
    205,417.35x = 308,101.73 × 55,648.35
  4. Step 4: Simplify right side
    205,417.35x = 17,145,352,628.40
  5. Step 5: Solve for x
    x = 17,145,352,628.40/205,417.35
  6. Step 6: Final answer
    x = 83,465.94

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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.