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Finding the Fourth Proportional to 137,911.75, 190,320.74 and 76,663.69

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Solution

The fourth proportional to 137,911.75, 190,320.74 and 76,663.69 is: 105,797.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,911.75 : 190,320.74 = 76,663.69 : x
  2. Step 2: Convert to fraction form
    137,911.75/190,320.74 = 76,663.69/x
  3. Step 3: Cross multiply
    137,911.75x = 190,320.74 × 76,663.69
  4. Step 4: Simplify right side
    137,911.75x = 14,590,690,211.93
  5. Step 5: Solve for x
    x = 14,590,690,211.93/137,911.75
  6. Step 6: Final answer
    x = 105,797.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.