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Finding the Fourth Proportional to 253,783.92, 380,654.28 and 103,981.44

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Solution

The fourth proportional to 253,783.92, 380,654.28 and 103,981.44 is: 155,963.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,783.92 : 380,654.28 = 103,981.44 : x
  2. Step 2: Convert to fraction form
    253,783.92/380,654.28 = 103,981.44/x
  3. Step 3: Cross multiply
    253,783.92x = 380,654.28 × 103,981.44
  4. Step 4: Simplify right side
    253,783.92x = 39,580,980,176.56
  5. Step 5: Solve for x
    x = 39,580,980,176.56/253,783.92
  6. Step 6: Final answer
    x = 155,963.31

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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.