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Finding the Fourth Proportional to 76,558.97, 105,649.41 and 42,565.70

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Solution

The fourth proportional to 76,558.97, 105,649.41 and 42,565.70 is: 58,739.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,558.97 : 105,649.41 = 42,565.70 : x
  2. Step 2: Convert to fraction form
    76,558.97/105,649.41 = 42,565.70/x
  3. Step 3: Cross multiply
    76,558.97x = 105,649.41 × 42,565.70
  4. Step 4: Simplify right side
    76,558.97x = 4,497,041,514.98
  5. Step 5: Solve for x
    x = 4,497,041,514.98/76,558.97
  6. Step 6: Final answer
    x = 58,739.58

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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.