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Finding the Fourth Proportional to 103,436.91, 155,029.95 and 47,199.96

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Solution

The fourth proportional to 103,436.91, 155,029.95 and 47,199.96 is: 70,742.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,436.91 : 155,029.95 = 47,199.96 : x
  2. Step 2: Convert to fraction form
    103,436.91/155,029.95 = 47,199.96/x
  3. Step 3: Cross multiply
    103,436.91x = 155,029.95 × 47,199.96
  4. Step 4: Simplify right side
    103,436.91x = 7,317,407,438.80
  5. Step 5: Solve for x
    x = 7,317,407,438.80/103,436.91
  6. Step 6: Final answer
    x = 70,742.71

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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.