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Finding the Fourth Proportional to 76,169.97, 105,113.97 and 42,178.32

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Solution

The fourth proportional to 76,169.97, 105,113.97 and 42,178.32 is: 58,205.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,169.97 : 105,113.97 = 42,178.32 : x
  2. Step 2: Convert to fraction form
    76,169.97/105,113.97 = 42,178.32/x
  3. Step 3: Cross multiply
    76,169.97x = 105,113.97 × 42,178.32
  4. Step 4: Simplify right side
    76,169.97x = 4,433,530,663.13
  5. Step 5: Solve for x
    x = 4,433,530,663.13/76,169.97
  6. Step 6: Final answer
    x = 58,205.76

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1.5x scale

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.