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Finding the Fourth Proportional to 103,695.10, 155,541.59 and 47,519.27

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Solution

The fourth proportional to 103,695.10, 155,541.59 and 47,519.27 is: 71,278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,695.10 : 155,541.59 = 47,519.27 : x
  2. Step 2: Convert to fraction form
    103,695.10/155,541.59 = 47,519.27/x
  3. Step 3: Cross multiply
    103,695.10x = 155,541.59 × 47,519.27
  4. Step 4: Simplify right side
    103,695.10x = 7,391,222,811.44
  5. Step 5: Solve for x
    x = 7,391,222,811.44/103,695.10
  6. Step 6: Final answer
    x = 71,278.42

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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.