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Finding the Fourth Proportional to 70,124.31, 96,778.56 and 41,830

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Solution

The fourth proportional to 70,124.31, 96,778.56 and 41,830 is: 57,729.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,124.31 : 96,778.56 = 41,830 : x
  2. Step 2: Convert to fraction form
    70,124.31/96,778.56 = 41,830/x
  3. Step 3: Cross multiply
    70,124.31x = 96,778.56 × 41,830
  4. Step 4: Simplify right side
    70,124.31x = 4,048,246,955.65
  5. Step 5: Solve for x
    x = 4,048,246,955.65/70,124.31
  6. Step 6: Final answer
    x = 57,729.58

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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.