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Finding the Fourth Proportional to 131,106, 180,941.80 and 74,525.88

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Solution

The fourth proportional to 131,106, 180,941.80 and 74,525.88 is: 102,854.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,106 : 180,941.80 = 74,525.88 : x
  2. Step 2: Convert to fraction form
    131,106/180,941.80 = 74,525.88/x
  3. Step 3: Cross multiply
    131,106x = 180,941.80 × 74,525.88
  4. Step 4: Simplify right side
    131,106x = 13,484,846,873.78
  5. Step 5: Solve for x
    x = 13,484,846,873.78/131,106
  6. Step 6: Final answer
    x = 102,854.54

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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.