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Finding the Fourth Proportional to 255,991.66, 383,973.14 and 78,498.19

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Solution

The fourth proportional to 255,991.66, 383,973.14 and 78,498.19 is: 117,742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,991.66 : 383,973.14 = 78,498.19 : x
  2. Step 2: Convert to fraction form
    255,991.66/383,973.14 = 78,498.19/x
  3. Step 3: Cross multiply
    255,991.66x = 383,973.14 × 78,498.19
  4. Step 4: Simplify right side
    255,991.66x = 30,141,195,014.98
  5. Step 5: Solve for x
    x = 30,141,195,014.98/255,991.66
  6. Step 6: Final answer
    x = 117,742.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.