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Finding the Fourth Proportional to 76,782.57, 105,961.01 and 42,790.11

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Solution

The fourth proportional to 76,782.57, 105,961.01 and 42,790.11 is: 59,050.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,782.57 : 105,961.01 = 42,790.11 : x
  2. Step 2: Convert to fraction form
    76,782.57/105,961.01 = 42,790.11/x
  3. Step 3: Cross multiply
    76,782.57x = 105,961.01 × 42,790.11
  4. Step 4: Simplify right side
    76,782.57x = 4,534,083,059.66
  5. Step 5: Solve for x
    x = 4,534,083,059.66/76,782.57
  6. Step 6: Final answer
    x = 59,050.94

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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.