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Finding the Fourth Proportional to 73,174.06, 100,978.14 and 42,958.90

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Solution

The fourth proportional to 73,174.06, 100,978.14 and 42,958.90 is: 59,282.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,174.06 : 100,978.14 = 42,958.90 : x
  2. Step 2: Convert to fraction form
    73,174.06/100,978.14 = 42,958.90/x
  3. Step 3: Cross multiply
    73,174.06x = 100,978.14 × 42,958.90
  4. Step 4: Simplify right side
    73,174.06x = 4,337,909,818.45
  5. Step 5: Solve for x
    x = 4,337,909,818.45/73,174.06
  6. Step 6: Final answer
    x = 59,282.07

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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.