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Finding the Fourth Proportional to 76,491.75, 105,575.48 and 42,511.91

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Solution

The fourth proportional to 76,491.75, 105,575.48 and 42,511.91 is: 58,675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,491.75 : 105,575.48 = 42,511.91 : x
  2. Step 2: Convert to fraction form
    76,491.75/105,575.48 = 42,511.91/x
  3. Step 3: Cross multiply
    76,491.75x = 105,575.48 × 42,511.91
  4. Step 4: Simplify right side
    76,491.75x = 4,488,214,563.53
  5. Step 5: Solve for x
    x = 4,488,214,563.53/76,491.75
  6. Step 6: Final answer
    x = 58,675.80

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1.5x scale

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.