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Finding the Fourth Proportional to 81,411.50, 112,386.35 and 54,571.55

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Solution

The fourth proportional to 81,411.50, 112,386.35 and 54,571.55 is: 75,334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,411.50 : 112,386.35 = 54,571.55 : x
  2. Step 2: Convert to fraction form
    81,411.50/112,386.35 = 54,571.55/x
  3. Step 3: Cross multiply
    81,411.50x = 112,386.35 × 54,571.55
  4. Step 4: Simplify right side
    81,411.50x = 6,133,096,892.84
  5. Step 5: Solve for x
    x = 6,133,096,892.84/81,411.50
  6. Step 6: Final answer
    x = 75,334.53

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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.