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Finding the Fourth Proportional to 186,765.66, 257,748.79 and 106,200.68

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Solution

The fourth proportional to 186,765.66, 257,748.79 and 106,200.68 is: 146,563.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,765.66 : 257,748.79 = 106,200.68 : x
  2. Step 2: Convert to fraction form
    186,765.66/257,748.79 = 106,200.68/x
  3. Step 3: Cross multiply
    186,765.66x = 257,748.79 × 106,200.68
  4. Step 4: Simplify right side
    186,765.66x = 27,373,096,767.18
  5. Step 5: Solve for x
    x = 27,373,096,767.18/186,765.66
  6. Step 6: Final answer
    x = 146,563.86

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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.