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Finding the Fourth Proportional to 149,046.76, 205,776.42 and 102,559.60

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Solution

The fourth proportional to 149,046.76, 205,776.42 and 102,559.60 is: 141,595.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,046.76 : 205,776.42 = 102,559.60 : x
  2. Step 2: Convert to fraction form
    149,046.76/205,776.42 = 102,559.60/x
  3. Step 3: Cross multiply
    149,046.76x = 205,776.42 × 102,559.60
  4. Step 4: Simplify right side
    149,046.76x = 21,104,347,324.63
  5. Step 5: Solve for x
    x = 21,104,347,324.63/149,046.76
  6. Step 6: Final answer
    x = 141,595.48

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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.