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Finding the Fourth Proportional to 205,665.12, 308,544 and 72,554.88

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Solution

The fourth proportional to 205,665.12, 308,544 and 72,554.88 is: 108,848.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,665.12 : 308,544 = 72,554.88 : x
  2. Step 2: Convert to fraction form
    205,665.12/308,544 = 72,554.88/x
  3. Step 3: Cross multiply
    205,665.12x = 308,544 × 72,554.88
  4. Step 4: Simplify right side
    205,665.12x = 22,386,372,894.72
  5. Step 5: Solve for x
    x = 22,386,372,894.72/205,665.12
  6. Step 6: Final answer
    x = 108,848.66

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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.