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Finding the Fourth Proportional to 70,273.80, 96,978.54 and 38,442

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Solution

The fourth proportional to 70,273.80, 96,978.54 and 38,442 is: 53,050.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,273.80 : 96,978.54 = 38,442 : x
  2. Step 2: Convert to fraction form
    70,273.80/96,978.54 = 38,442/x
  3. Step 3: Cross multiply
    70,273.80x = 96,978.54 × 38,442
  4. Step 4: Simplify right side
    70,273.80x = 3,728,049,034.68
  5. Step 5: Solve for x
    x = 3,728,049,034.68/70,273.80
  6. Step 6: Final answer
    x = 53,050.34

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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.