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Finding the Fourth Proportional to 186,781.52, 257,748 and 106,228.64

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Solution

The fourth proportional to 186,781.52, 257,748 and 106,228.64 is: 146,589.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,781.52 : 257,748 = 106,228.64 : x
  2. Step 2: Convert to fraction form
    186,781.52/257,748 = 106,228.64/x
  3. Step 3: Cross multiply
    186,781.52x = 257,748 × 106,228.64
  4. Step 4: Simplify right side
    186,781.52x = 27,380,219,502.72
  5. Step 5: Solve for x
    x = 27,380,219,502.72/186,781.52
  6. Step 6: Final answer
    x = 146,589.55

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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.