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Finding the Fourth Proportional to 76,711.85, 105,895.11 and 51,575.93

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Solution

The fourth proportional to 76,711.85, 105,895.11 and 51,575.93 is: 71,196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,711.85 : 105,895.11 = 51,575.93 : x
  2. Step 2: Convert to fraction form
    76,711.85/105,895.11 = 51,575.93/x
  3. Step 3: Cross multiply
    76,711.85x = 105,895.11 × 51,575.93
  4. Step 4: Simplify right side
    76,711.85x = 5,461,638,780.70
  5. Step 5: Solve for x
    x = 5,461,638,780.70/76,711.85
  6. Step 6: Final answer
    x = 71,196.81

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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.