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Finding the Fourth Proportional to 262,616.40, 393,973.20 and 85,129.20

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Solution

The fourth proportional to 262,616.40, 393,973.20 and 85,129.20 is: 127,709.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,616.40 : 393,973.20 = 85,129.20 : x
  2. Step 2: Convert to fraction form
    262,616.40/393,973.20 = 85,129.20/x
  3. Step 3: Cross multiply
    262,616.40x = 393,973.20 × 85,129.20
  4. Step 4: Simplify right side
    262,616.40x = 33,538,623,337.44
  5. Step 5: Solve for x
    x = 33,538,623,337.44/262,616.40
  6. Step 6: Final answer
    x = 127,709.55

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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.