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Finding the Fourth Proportional to 81,583.85, 112,585.41 and 45,774

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Solution

The fourth proportional to 81,583.85, 112,585.41 and 45,774 is: 63,167.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,583.85 : 112,585.41 = 45,774 : x
  2. Step 2: Convert to fraction form
    81,583.85/112,585.41 = 45,774/x
  3. Step 3: Cross multiply
    81,583.85x = 112,585.41 × 45,774
  4. Step 4: Simplify right side
    81,583.85x = 5,153,484,557.34
  5. Step 5: Solve for x
    x = 5,153,484,557.34/81,583.85
  6. Step 6: Final answer
    x = 63,167.95

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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.