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Finding the Fourth Proportional to 137,128.33, 205,573.56 and 61,169.77

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Solution

The fourth proportional to 137,128.33, 205,573.56 and 61,169.77 is: 91,701.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,128.33 : 205,573.56 = 61,169.77 : x
  2. Step 2: Convert to fraction form
    137,128.33/205,573.56 = 61,169.77/x
  3. Step 3: Cross multiply
    137,128.33x = 205,573.56 × 61,169.77
  4. Step 4: Simplify right side
    137,128.33x = 12,574,887,383.28
  5. Step 5: Solve for x
    x = 12,574,887,383.28/137,128.33
  6. Step 6: Final answer
    x = 91,701.60

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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.