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Finding the Fourth Proportional to 275,957.69, 413,935.52 and 76,277.70

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Solution

The fourth proportional to 275,957.69, 413,935.52 and 76,277.70 is: 114,416.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,957.69 : 413,935.52 = 76,277.70 : x
  2. Step 2: Convert to fraction form
    275,957.69/413,935.52 = 76,277.70/x
  3. Step 3: Cross multiply
    275,957.69x = 413,935.52 × 76,277.70
  4. Step 4: Simplify right side
    275,957.69x = 31,574,049,032.52
  5. Step 5: Solve for x
    x = 31,574,049,032.52/275,957.69
  6. Step 6: Final answer
    x = 114,416.27

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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.