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Finding the Fourth Proportional to 76,321.94, 105,311.66 and 42,325.02

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Solution

The fourth proportional to 76,321.94, 105,311.66 and 42,325.02 is: 58,401.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,321.94 : 105,311.66 = 42,325.02 : x
  2. Step 2: Convert to fraction form
    76,321.94/105,311.66 = 42,325.02/x
  3. Step 3: Cross multiply
    76,321.94x = 105,311.66 × 42,325.02
  4. Step 4: Simplify right side
    76,321.94x = 4,457,317,904.11
  5. Step 5: Solve for x
    x = 4,457,317,904.11/76,321.94
  6. Step 6: Final answer
    x = 58,401.53

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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.