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Finding the Fourth Proportional to 127,863.84, 176,465.52 and 76,893.24

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Solution

The fourth proportional to 127,863.84, 176,465.52 and 76,893.24 is: 106,120.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,863.84 : 176,465.52 = 76,893.24 : x
  2. Step 2: Convert to fraction form
    127,863.84/176,465.52 = 76,893.24/x
  3. Step 3: Cross multiply
    127,863.84x = 176,465.52 × 76,893.24
  4. Step 4: Simplify right side
    127,863.84x = 13,569,005,581.08
  5. Step 5: Solve for x
    x = 13,569,005,581.08/127,863.84
  6. Step 6: Final answer
    x = 106,120.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.