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Finding the Fourth Proportional to 103,970.91, 155,847.82 and 75,438.93

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Solution

The fourth proportional to 103,970.91, 155,847.82 and 75,438.93 is: 113,079.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,970.91 : 155,847.82 = 75,438.93 : x
  2. Step 2: Convert to fraction form
    103,970.91/155,847.82 = 75,438.93/x
  3. Step 3: Cross multiply
    103,970.91x = 155,847.82 × 75,438.93
  4. Step 4: Simplify right side
    103,970.91x = 11,756,992,783.63
  5. Step 5: Solve for x
    x = 11,756,992,783.63/103,970.91
  6. Step 6: Final answer
    x = 113,079.64

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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.