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Finding the Fourth Proportional to 205,103.48, 307,616.32 and 86,857.88

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Solution

The fourth proportional to 205,103.48, 307,616.32 and 86,857.88 is: 130,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,103.48 : 307,616.32 = 86,857.88 : x
  2. Step 2: Convert to fraction form
    205,103.48/307,616.32 = 86,857.88/x
  3. Step 3: Cross multiply
    205,103.48x = 307,616.32 × 86,857.88
  4. Step 4: Simplify right side
    205,103.48x = 26,718,901,408.60
  5. Step 5: Solve for x
    x = 26,718,901,408.60/205,103.48
  6. Step 6: Final answer
    x = 130,270.35

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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.