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Finding the Fourth Proportional to 149,050.77, 205,689.92 and 85,388.82

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Solution

The fourth proportional to 149,050.77, 205,689.92 and 85,388.82 is: 117,836.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,050.77 : 205,689.92 = 85,388.82 : x
  2. Step 2: Convert to fraction form
    149,050.77/205,689.92 = 85,388.82/x
  3. Step 3: Cross multiply
    149,050.77x = 205,689.92 × 85,388.82
  4. Step 4: Simplify right side
    149,050.77x = 17,563,619,127.75
  5. Step 5: Solve for x
    x = 17,563,619,127.75/149,050.77
  6. Step 6: Final answer
    x = 117,836.49

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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.