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Finding the Fourth Proportional to 134,630.88, 185,786.64 and 77,278.56

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Solution

The fourth proportional to 134,630.88, 185,786.64 and 77,278.56 is: 106,642.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,630.88 : 185,786.64 = 77,278.56 : x
  2. Step 2: Convert to fraction form
    134,630.88/185,786.64 = 77,278.56/x
  3. Step 3: Cross multiply
    134,630.88x = 185,786.64 × 77,278.56
  4. Step 4: Simplify right side
    134,630.88x = 14,357,324,006.44
  5. Step 5: Solve for x
    x = 14,357,324,006.44/134,630.88
  6. Step 6: Final answer
    x = 106,642.13

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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.