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Finding the Fourth Proportional to 127,872.84, 176,465.28 and 74,189.82

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Solution

The fourth proportional to 127,872.84, 176,465.28 and 74,189.82 is: 102,382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,872.84 : 176,465.28 = 74,189.82 : x
  2. Step 2: Convert to fraction form
    127,872.84/176,465.28 = 74,189.82/x
  3. Step 3: Cross multiply
    127,872.84x = 176,465.28 × 74,189.82
  4. Step 4: Simplify right side
    127,872.84x = 13,091,927,359.45
  5. Step 5: Solve for x
    x = 13,091,927,359.45/127,872.84
  6. Step 6: Final answer
    x = 102,382.39

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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.