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Finding the Fourth Proportional to 128,689.26, 192,980.43 and 49,758

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Solution

The fourth proportional to 128,689.26, 192,980.43 and 49,758 is: 74,616.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,689.26 : 192,980.43 = 49,758 : x
  2. Step 2: Convert to fraction form
    128,689.26/192,980.43 = 49,758/x
  3. Step 3: Cross multiply
    128,689.26x = 192,980.43 × 49,758
  4. Step 4: Simplify right side
    128,689.26x = 9,602,320,235.94
  5. Step 5: Solve for x
    x = 9,602,320,235.94/128,689.26
  6. Step 6: Final answer
    x = 74,616.33

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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.