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Finding the Fourth Proportional to 205,876.40, 308,839.48 and 72,729.40

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Solution

The fourth proportional to 205,876.40, 308,839.48 and 72,729.40 is: 109,102.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,876.40 : 308,839.48 = 72,729.40 : x
  2. Step 2: Convert to fraction form
    205,876.40/308,839.48 = 72,729.40/x
  3. Step 3: Cross multiply
    205,876.40x = 308,839.48 × 72,729.40
  4. Step 4: Simplify right side
    205,876.40x = 22,461,710,076.71
  5. Step 5: Solve for x
    x = 22,461,710,076.71/205,876.40
  6. Step 6: Final answer
    x = 109,102.89

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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.