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Finding the Fourth Proportional to 137,057.64, 205,446.42 and 77,768.06

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Solution

The fourth proportional to 137,057.64, 205,446.42 and 77,768.06 is: 116,572.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,057.64 : 205,446.42 = 77,768.06 : x
  2. Step 2: Convert to fraction form
    137,057.64/205,446.42 = 77,768.06/x
  3. Step 3: Cross multiply
    137,057.64x = 205,446.42 × 77,768.06
  4. Step 4: Simplify right side
    137,057.64x = 15,977,169,517.35
  5. Step 5: Solve for x
    x = 15,977,169,517.35/137,057.64
  6. Step 6: Final answer
    x = 116,572.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.