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Finding the Fourth Proportional to 103,860.86, 155,728.96 and 47,630.54

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Solution

The fourth proportional to 103,860.86, 155,728.96 and 47,630.54 is: 71,417.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,860.86 : 155,728.96 = 47,630.54 : x
  2. Step 2: Convert to fraction form
    103,860.86/155,728.96 = 47,630.54/x
  3. Step 3: Cross multiply
    103,860.86x = 155,728.96 × 47,630.54
  4. Step 4: Simplify right side
    103,860.86x = 7,417,454,458.44
  5. Step 5: Solve for x
    x = 7,417,454,458.44/103,860.86
  6. Step 6: Final answer
    x = 71,417.23

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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.