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Finding the Fourth Proportional to 76,751.70, 105,910.11 and 42,756.72

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Solution

The fourth proportional to 76,751.70, 105,910.11 and 42,756.72 is: 59,000.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,751.70 : 105,910.11 = 42,756.72 : x
  2. Step 2: Convert to fraction form
    76,751.70/105,910.11 = 42,756.72/x
  3. Step 3: Cross multiply
    76,751.70x = 105,910.11 × 42,756.72
  4. Step 4: Simplify right side
    76,751.70x = 4,528,368,918.44
  5. Step 5: Solve for x
    x = 4,528,368,918.44/76,751.70
  6. Step 6: Final answer
    x = 59,000.24

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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.