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Finding the Fourth Proportional to 76,553.64, 105,648.77 and 42,562.40

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Solution

The fourth proportional to 76,553.64, 105,648.77 and 42,562.40 is: 58,738.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,553.64 : 105,648.77 = 42,562.40 : x
  2. Step 2: Convert to fraction form
    76,553.64/105,648.77 = 42,562.40/x
  3. Step 3: Cross multiply
    76,553.64x = 105,648.77 × 42,562.40
  4. Step 4: Simplify right side
    76,553.64x = 4,496,664,786.41
  5. Step 5: Solve for x
    x = 4,496,664,786.41/76,553.64
  6. Step 6: Final answer
    x = 58,738.75

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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.