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Finding the Fourth Proportional to 65,942.71, 90,950.74 and 56,759.90

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Solution

The fourth proportional to 65,942.71, 90,950.74 and 56,759.90 is: 78,285.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,942.71 : 90,950.74 = 56,759.90 : x
  2. Step 2: Convert to fraction form
    65,942.71/90,950.74 = 56,759.90/x
  3. Step 3: Cross multiply
    65,942.71x = 90,950.74 × 56,759.90
  4. Step 4: Simplify right side
    65,942.71x = 5,162,354,310.67
  5. Step 5: Solve for x
    x = 5,162,354,310.67/65,942.71
  6. Step 6: Final answer
    x = 78,285.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.