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Finding the Fourth Proportional to 76,358.78, 114,510.71 and 26,425.31

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Solution

The fourth proportional to 76,358.78, 114,510.71 and 26,425.31 is: 39,628.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,358.78 : 114,510.71 = 26,425.31 : x
  2. Step 2: Convert to fraction form
    76,358.78/114,510.71 = 26,425.31/x
  3. Step 3: Cross multiply
    76,358.78x = 114,510.71 × 26,425.31
  4. Step 4: Simplify right side
    76,358.78x = 3,025,981,010.07
  5. Step 5: Solve for x
    x = 3,025,981,010.07/76,358.78
  6. Step 6: Final answer
    x = 39,628.46

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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.