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Finding the Fourth Proportional to 102,957.20, 154,320.60 and 43,782.80

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Solution

The fourth proportional to 102,957.20, 154,320.60 and 43,782.80 is: 65,625.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,957.20 : 154,320.60 = 43,782.80 : x
  2. Step 2: Convert to fraction form
    102,957.20/154,320.60 = 43,782.80/x
  3. Step 3: Cross multiply
    102,957.20x = 154,320.60 × 43,782.80
  4. Step 4: Simplify right side
    102,957.20x = 6,756,587,965.68
  5. Step 5: Solve for x
    x = 6,756,587,965.68/102,957.20
  6. Step 6: Final answer
    x = 65,625.21

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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.