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Finding the Fourth Proportional to 128,690.76, 192,982.68 and 49,759.50

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Solution

The fourth proportional to 128,690.76, 192,982.68 and 49,759.50 is: 74,618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,690.76 : 192,982.68 = 49,759.50 : x
  2. Step 2: Convert to fraction form
    128,690.76/192,982.68 = 49,759.50/x
  3. Step 3: Cross multiply
    128,690.76x = 192,982.68 × 49,759.50
  4. Step 4: Simplify right side
    128,690.76x = 9,602,721,665.46
  5. Step 5: Solve for x
    x = 9,602,721,665.46/128,690.76
  6. Step 6: Final answer
    x = 74,618.58

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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.