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Finding the Fourth Proportional to 103,447.91, 155,156.07 and 49,398.77

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Solution

The fourth proportional to 103,447.91, 155,156.07 and 49,398.77 is: 74,090.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,447.91 : 155,156.07 = 49,398.77 : x
  2. Step 2: Convert to fraction form
    103,447.91/155,156.07 = 49,398.77/x
  3. Step 3: Cross multiply
    103,447.91x = 155,156.07 × 49,398.77
  4. Step 4: Simplify right side
    103,447.91x = 7,664,519,016.03
  5. Step 5: Solve for x
    x = 7,664,519,016.03/103,447.91
  6. Step 6: Final answer
    x = 74,090.61

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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.