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Finding the Fourth Proportional to 105,709.78, 145,879.14 and 57,961.90

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Solution

The fourth proportional to 105,709.78, 145,879.14 and 57,961.90 is: 79,987.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,709.78 : 145,879.14 = 57,961.90 : x
  2. Step 2: Convert to fraction form
    105,709.78/145,879.14 = 57,961.90/x
  3. Step 3: Cross multiply
    105,709.78x = 145,879.14 × 57,961.90
  4. Step 4: Simplify right side
    105,709.78x = 8,455,432,124.77
  5. Step 5: Solve for x
    x = 8,455,432,124.77/105,709.78
  6. Step 6: Final answer
    x = 79,987.23

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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.