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Finding the Fourth Proportional to 186,472.64, 257,264.74 and 121,978.69

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Solution

The fourth proportional to 186,472.64, 257,264.74 and 121,978.69 is: 168,286.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,472.64 : 257,264.74 = 121,978.69 : x
  2. Step 2: Convert to fraction form
    186,472.64/257,264.74 = 121,978.69/x
  3. Step 3: Cross multiply
    186,472.64x = 257,264.74 × 121,978.69
  4. Step 4: Simplify right side
    186,472.64x = 31,380,814,072.17
  5. Step 5: Solve for x
    x = 31,380,814,072.17/186,472.64
  6. Step 6: Final answer
    x = 168,286.43

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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.