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Finding the Fourth Proportional to 228,752.64, 343,174.77 and 78,998.40

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Solution

The fourth proportional to 228,752.64, 343,174.77 and 78,998.40 is: 118,513.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,752.64 : 343,174.77 = 78,998.40 : x
  2. Step 2: Convert to fraction form
    228,752.64/343,174.77 = 78,998.40/x
  3. Step 3: Cross multiply
    228,752.64x = 343,174.77 × 78,998.40
  4. Step 4: Simplify right side
    228,752.64x = 27,110,257,750.37
  5. Step 5: Solve for x
    x = 27,110,257,750.37/228,752.64
  6. Step 6: Final answer
    x = 118,513.42

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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.