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Finding the Fourth Proportional to 137,224.70, 205,966.65 and 84,736.70

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Solution

The fourth proportional to 137,224.70, 205,966.65 and 84,736.70 is: 127,185.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,224.70 : 205,966.65 = 84,736.70 : x
  2. Step 2: Convert to fraction form
    137,224.70/205,966.65 = 84,736.70/x
  3. Step 3: Cross multiply
    137,224.70x = 205,966.65 × 84,736.70
  4. Step 4: Simplify right side
    137,224.70x = 17,452,934,231.06
  5. Step 5: Solve for x
    x = 17,452,934,231.06/137,224.70
  6. Step 6: Final answer
    x = 127,185.08

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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.