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Finding the Fourth Proportional to 137,735.40, 206,602.68 and 77,736.66

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Solution

The fourth proportional to 137,735.40, 206,602.68 and 77,736.66 is: 116,604.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,735.40 : 206,602.68 = 77,736.66 : x
  2. Step 2: Convert to fraction form
    137,735.40/206,602.68 = 77,736.66/x
  3. Step 3: Cross multiply
    137,735.40x = 206,602.68 × 77,736.66
  4. Step 4: Simplify right side
    137,735.40x = 16,060,602,290.25
  5. Step 5: Solve for x
    x = 16,060,602,290.25/137,735.40
  6. Step 6: Final answer
    x = 116,604.75

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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.