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Finding the Fourth Proportional to 130,392.78, 179,935.80 and 80,082.06

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Solution

The fourth proportional to 130,392.78, 179,935.80 and 80,082.06 is: 110,509.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,392.78 : 179,935.80 = 80,082.06 : x
  2. Step 2: Convert to fraction form
    130,392.78/179,935.80 = 80,082.06/x
  3. Step 3: Cross multiply
    130,392.78x = 179,935.80 × 80,082.06
  4. Step 4: Simplify right side
    130,392.78x = 14,409,629,531.75
  5. Step 5: Solve for x
    x = 14,409,629,531.75/130,392.78
  6. Step 6: Final answer
    x = 110,509.41

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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.