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Finding the Fourth Proportional to 127,797.30, 176,361 and 74,114.16

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Solution

The fourth proportional to 127,797.30, 176,361 and 74,114.16 is: 102,277.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,797.30 : 176,361 = 74,114.16 : x
  2. Step 2: Convert to fraction form
    127,797.30/176,361 = 74,114.16/x
  3. Step 3: Cross multiply
    127,797.30x = 176,361 × 74,114.16
  4. Step 4: Simplify right side
    127,797.30x = 13,070,847,371.76
  5. Step 5: Solve for x
    x = 13,070,847,371.76/127,797.30
  6. Step 6: Final answer
    x = 102,277.96

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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.