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Finding the Fourth Proportional to 103,764, 155,617.65 and 37,191.72

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Solution

The fourth proportional to 103,764, 155,617.65 and 37,191.72 is: 55,777.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,764 : 155,617.65 = 37,191.72 : x
  2. Step 2: Convert to fraction form
    103,764/155,617.65 = 37,191.72/x
  3. Step 3: Cross multiply
    103,764x = 155,617.65 × 37,191.72
  4. Step 4: Simplify right side
    103,764x = 5,787,688,065.86
  5. Step 5: Solve for x
    x = 5,787,688,065.86/103,764
  6. Step 6: Final answer
    x = 55,777.42

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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.