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Finding the Fourth Proportional to 103,891.34, 155,935.42 and 54,007.24

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Solution

The fourth proportional to 103,891.34, 155,935.42 and 54,007.24 is: 81,062.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,891.34 : 155,935.42 = 54,007.24 : x
  2. Step 2: Convert to fraction form
    103,891.34/155,935.42 = 54,007.24/x
  3. Step 3: Cross multiply
    103,891.34x = 155,935.42 × 54,007.24
  4. Step 4: Simplify right side
    103,891.34x = 8,421,641,652.44
  5. Step 5: Solve for x
    x = 8,421,641,652.44/103,891.34
  6. Step 6: Final answer
    x = 81,062.02

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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.