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Finding the Fourth Proportional to 203,608.40, 280,970.10 and 112,963.40

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Solution

The fourth proportional to 203,608.40, 280,970.10 and 112,963.40 is: 155,884.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,608.40 : 280,970.10 = 112,963.40 : x
  2. Step 2: Convert to fraction form
    203,608.40/280,970.10 = 112,963.40/x
  3. Step 3: Cross multiply
    203,608.40x = 280,970.10 × 112,963.40
  4. Step 4: Simplify right side
    203,608.40x = 31,739,337,794.34
  5. Step 5: Solve for x
    x = 31,739,337,794.34/203,608.40
  6. Step 6: Final answer
    x = 155,884.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.