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Finding the Fourth Proportional to 186,787.80, 257,765.94 and 106,215.34

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Solution

The fourth proportional to 186,787.80, 257,765.94 and 106,215.34 is: 146,576.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,787.80 : 257,765.94 = 106,215.34 : x
  2. Step 2: Convert to fraction form
    186,787.80/257,765.94 = 106,215.34/x
  3. Step 3: Cross multiply
    186,787.80x = 257,765.94 × 106,215.34
  4. Step 4: Simplify right side
    186,787.80x = 27,378,696,957.52
  5. Step 5: Solve for x
    x = 27,378,696,957.52/186,787.80
  6. Step 6: Final answer
    x = 146,576.47

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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.