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Finding the Fourth Proportional to 76,190.40, 114,415.20 and 56,491.20

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Solution

The fourth proportional to 76,190.40, 114,415.20 and 56,491.20 is: 84,832.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,190.40 : 114,415.20 = 56,491.20 : x
  2. Step 2: Convert to fraction form
    76,190.40/114,415.20 = 56,491.20/x
  3. Step 3: Cross multiply
    76,190.40x = 114,415.20 × 56,491.20
  4. Step 4: Simplify right side
    76,190.40x = 6,463,451,946.24
  5. Step 5: Solve for x
    x = 6,463,451,946.24/76,190.40
  6. Step 6: Final answer
    x = 84,832.89

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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.