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Finding the Fourth Proportional to 76,655, 105,767.97 and 44,817.74

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Solution

The fourth proportional to 76,655, 105,767.97 and 44,817.74 is: 61,839.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,655 : 105,767.97 = 44,817.74 : x
  2. Step 2: Convert to fraction form
    76,655/105,767.97 = 44,817.74/x
  3. Step 3: Cross multiply
    76,655x = 105,767.97 × 44,817.74
  4. Step 4: Simplify right side
    76,655x = 4,740,281,379.79
  5. Step 5: Solve for x
    x = 4,740,281,379.79/76,655
  6. Step 6: Final answer
    x = 61,839.17

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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.