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Finding the Fourth Proportional to 76,644.67, 105,767.48 and 42,652.61

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Solution

The fourth proportional to 76,644.67, 105,767.48 and 42,652.61 is: 58,859.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,644.67 : 105,767.48 = 42,652.61 : x
  2. Step 2: Convert to fraction form
    76,644.67/105,767.48 = 42,652.61/x
  3. Step 3: Cross multiply
    76,644.67x = 105,767.48 × 42,652.61
  4. Step 4: Simplify right side
    76,644.67x = 4,511,258,861.86
  5. Step 5: Solve for x
    x = 4,511,258,861.86/76,644.67
  6. Step 6: Final answer
    x = 58,859.40

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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.