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Finding the Fourth Proportional to 186,431.32, 279,654 and 51,509.08

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Solution

The fourth proportional to 186,431.32, 279,654 and 51,509.08 is: 77,265.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,431.32 : 279,654 = 51,509.08 : x
  2. Step 2: Convert to fraction form
    186,431.32/279,654 = 51,509.08/x
  3. Step 3: Cross multiply
    186,431.32x = 279,654 × 51,509.08
  4. Step 4: Simplify right side
    186,431.32x = 14,404,720,258.32
  5. Step 5: Solve for x
    x = 14,404,720,258.32/186,431.32
  6. Step 6: Final answer
    x = 77,265.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.