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Finding the Fourth Proportional to 227,359.64, 340,945.62 and 77,612

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Solution

The fourth proportional to 227,359.64, 340,945.62 and 77,612 is: 116,385.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,359.64 : 340,945.62 = 77,612 : x
  2. Step 2: Convert to fraction form
    227,359.64/340,945.62 = 77,612/x
  3. Step 3: Cross multiply
    227,359.64x = 340,945.62 × 77,612
  4. Step 4: Simplify right side
    227,359.64x = 26,461,471,459.44
  5. Step 5: Solve for x
    x = 26,461,471,459.44/227,359.64
  6. Step 6: Final answer
    x = 116,385.97

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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.