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Finding the Fourth Proportional to 60,729, 91,093.50 and 19,176

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Solution

The fourth proportional to 60,729, 91,093.50 and 19,176 is: 28,764

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,729 : 91,093.50 = 19,176 : x
  2. Step 2: Convert to fraction form
    60,729/91,093.50 = 19,176/x
  3. Step 3: Cross multiply
    60,729x = 91,093.50 × 19,176
  4. Step 4: Simplify right side
    60,729x = 1,746,808,956
  5. Step 5: Solve for x
    x = 1,746,808,956/60,729
  6. Step 6: Final answer
    x = 28,764

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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.