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Finding the Fourth Proportional to 205,418.92, 308,125.90 and 65,178.76

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Solution

The fourth proportional to 205,418.92, 308,125.90 and 65,178.76 is: 97,767.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,418.92 : 308,125.90 = 65,178.76 : x
  2. Step 2: Convert to fraction form
    205,418.92/308,125.90 = 65,178.76/x
  3. Step 3: Cross multiply
    205,418.92x = 308,125.90 × 65,178.76
  4. Step 4: Simplify right side
    205,418.92x = 20,083,264,085.88
  5. Step 5: Solve for x
    x = 20,083,264,085.88/205,418.92
  6. Step 6: Final answer
    x = 97,767.35

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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.