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Finding the Fourth Proportional to 149,050, 205,691.66 and 81,068.48

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Solution

The fourth proportional to 149,050, 205,691.66 and 81,068.48 is: 111,875.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,050 : 205,691.66 = 81,068.48 : x
  2. Step 2: Convert to fraction form
    149,050/205,691.66 = 81,068.48/x
  3. Step 3: Cross multiply
    149,050x = 205,691.66 × 81,068.48
  4. Step 4: Simplify right side
    149,050x = 16,675,110,224.88
  5. Step 5: Solve for x
    x = 16,675,110,224.88/149,050
  6. Step 6: Final answer
    x = 111,875.95

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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.