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Finding the Fourth Proportional to 81,179.84, 111,894.32 and 54,312.72

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Solution

The fourth proportional to 81,179.84, 111,894.32 and 54,312.72 is: 74,862.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,179.84 : 111,894.32 = 54,312.72 : x
  2. Step 2: Convert to fraction form
    81,179.84/111,894.32 = 54,312.72/x
  3. Step 3: Cross multiply
    81,179.84x = 111,894.32 × 54,312.72
  4. Step 4: Simplify right side
    81,179.84x = 6,077,284,871.75
  5. Step 5: Solve for x
    x = 6,077,284,871.75/81,179.84
  6. Step 6: Final answer
    x = 74,862.00

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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.