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Finding the Fourth Proportional to 205,988.40, 308,752.20 and 87,639.60

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Solution

The fourth proportional to 205,988.40, 308,752.20 and 87,639.60 is: 131,361.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,988.40 : 308,752.20 = 87,639.60 : x
  2. Step 2: Convert to fraction form
    205,988.40/308,752.20 = 87,639.60/x
  3. Step 3: Cross multiply
    205,988.40x = 308,752.20 × 87,639.60
  4. Step 4: Simplify right side
    205,988.40x = 27,058,919,307.12
  5. Step 5: Solve for x
    x = 27,058,919,307.12/205,988.40
  6. Step 6: Final answer
    x = 131,361.37

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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.