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Finding the Fourth Proportional to 255,991.73, 383,973.24 and 78,498.25

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Solution

The fourth proportional to 255,991.73, 383,973.24 and 78,498.25 is: 117,742.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,991.73 : 383,973.24 = 78,498.25 : x
  2. Step 2: Convert to fraction form
    255,991.73/383,973.24 = 78,498.25/x
  3. Step 3: Cross multiply
    255,991.73x = 383,973.24 × 78,498.25
  4. Step 4: Simplify right side
    255,991.73x = 30,141,226,372.51
  5. Step 5: Solve for x
    x = 30,141,226,372.51/255,991.73
  6. Step 6: Final answer
    x = 117,742.97

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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.