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Finding the Fourth Proportional to 86,909.81, 120,005.29 and 69,859.41

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Solution

The fourth proportional to 86,909.81, 120,005.29 and 69,859.41 is: 96,462.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,909.81 : 120,005.29 = 69,859.41 : x
  2. Step 2: Convert to fraction form
    86,909.81/120,005.29 = 69,859.41/x
  3. Step 3: Cross multiply
    86,909.81x = 120,005.29 × 69,859.41
  4. Step 4: Simplify right side
    86,909.81x = 8,383,498,406.98
  5. Step 5: Solve for x
    x = 8,383,498,406.98/86,909.81
  6. Step 6: Final answer
    x = 96,462.06

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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.