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Finding the Fourth Proportional to 205,417.92, 308,124.40 and 65,177.76

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Solution

The fourth proportional to 205,417.92, 308,124.40 and 65,177.76 is: 97,765.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,417.92 : 308,124.40 = 65,177.76 : x
  2. Step 2: Convert to fraction form
    205,417.92/308,124.40 = 65,177.76/x
  3. Step 3: Cross multiply
    205,417.92x = 308,124.40 × 65,177.76
  4. Step 4: Simplify right side
    205,417.92x = 20,082,858,193.34
  5. Step 5: Solve for x
    x = 20,082,858,193.34/205,417.92
  6. Step 6: Final answer
    x = 97,765.85

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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.