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Finding the Fourth Proportional to 81,807.17, 122,730.49 and 28,491.35

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Solution

The fourth proportional to 81,807.17, 122,730.49 and 28,491.35 is: 42,743.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,807.17 : 122,730.49 = 28,491.35 : x
  2. Step 2: Convert to fraction form
    81,807.17/122,730.49 = 28,491.35/x
  3. Step 3: Cross multiply
    81,807.17x = 122,730.49 × 28,491.35
  4. Step 4: Simplify right side
    81,807.17x = 3,496,756,768.22
  5. Step 5: Solve for x
    x = 3,496,756,768.22/81,807.17
  6. Step 6: Final answer
    x = 42,743.89

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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.