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Finding the Fourth Proportional to 135,076.64, 186,400.32 and 78,483.56

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Solution

The fourth proportional to 135,076.64, 186,400.32 and 78,483.56 is: 108,304.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,076.64 : 186,400.32 = 78,483.56 : x
  2. Step 2: Convert to fraction form
    135,076.64/186,400.32 = 78,483.56/x
  3. Step 3: Cross multiply
    135,076.64x = 186,400.32 × 78,483.56
  4. Step 4: Simplify right side
    135,076.64x = 14,629,360,698.74
  5. Step 5: Solve for x
    x = 14,629,360,698.74/135,076.64
  6. Step 6: Final answer
    x = 108,304.15

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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.