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Finding the Fourth Proportional to 76,310.92, 105,315.24 and 42,322.80

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Solution

The fourth proportional to 76,310.92, 105,315.24 and 42,322.80 is: 58,408.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,310.92 : 105,315.24 = 42,322.80 : x
  2. Step 2: Convert to fraction form
    76,310.92/105,315.24 = 42,322.80/x
  3. Step 3: Cross multiply
    76,310.92x = 105,315.24 × 42,322.80
  4. Step 4: Simplify right side
    76,310.92x = 4,457,235,839.47
  5. Step 5: Solve for x
    x = 4,457,235,839.47/76,310.92
  6. Step 6: Final answer
    x = 58,408.89

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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.