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Finding the Fourth Proportional to 149,009.80, 205,709.72 and 114,941.80

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Solution

The fourth proportional to 149,009.80, 205,709.72 and 114,941.80 is: 158,678.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,009.80 : 205,709.72 = 114,941.80 : x
  2. Step 2: Convert to fraction form
    149,009.80/205,709.72 = 114,941.80/x
  3. Step 3: Cross multiply
    149,009.80x = 205,709.72 × 114,941.80
  4. Step 4: Simplify right side
    149,009.80x = 23,644,645,494.30
  5. Step 5: Solve for x
    x = 23,644,645,494.30/149,009.80
  6. Step 6: Final answer
    x = 158,678.46

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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.