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Finding the Fourth Proportional to 149,140.52, 205,809.77 and 81,155.91

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Solution

The fourth proportional to 149,140.52, 205,809.77 and 81,155.91 is: 111,992.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,140.52 : 205,809.77 = 81,155.91 : x
  2. Step 2: Convert to fraction form
    149,140.52/205,809.77 = 81,155.91/x
  3. Step 3: Cross multiply
    149,140.52x = 205,809.77 × 81,155.91
  4. Step 4: Simplify right side
    149,140.52x = 16,702,678,765.46
  5. Step 5: Solve for x
    x = 16,702,678,765.46/149,140.52
  6. Step 6: Final answer
    x = 111,992.90

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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.