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Finding the Fourth Proportional to 103,963.20, 155,653.20 and 101,047.20

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Solution

The fourth proportional to 103,963.20, 155,653.20 and 101,047.20 is: 151,287.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,963.20 : 155,653.20 = 101,047.20 : x
  2. Step 2: Convert to fraction form
    103,963.20/155,653.20 = 101,047.20/x
  3. Step 3: Cross multiply
    103,963.20x = 155,653.20 × 101,047.20
  4. Step 4: Simplify right side
    103,963.20x = 15,728,320,031.04
  5. Step 5: Solve for x
    x = 15,728,320,031.04/103,963.20
  6. Step 6: Final answer
    x = 151,287.38

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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.