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Finding the Fourth Proportional to 137,092.63, 205,740 and 65,045.84

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Solution

The fourth proportional to 137,092.63, 205,740 and 65,045.84 is: 97,616.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,092.63 : 205,740 = 65,045.84 : x
  2. Step 2: Convert to fraction form
    137,092.63/205,740 = 65,045.84/x
  3. Step 3: Cross multiply
    137,092.63x = 205,740 × 65,045.84
  4. Step 4: Simplify right side
    137,092.63x = 13,382,531,121.60
  5. Step 5: Solve for x
    x = 13,382,531,121.60/137,092.63
  6. Step 6: Final answer
    x = 97,616.71

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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.