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Finding the Fourth Proportional to 228,917.54, 343,425.56 and 77,129.72

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Solution

The fourth proportional to 228,917.54, 343,425.56 and 77,129.72 is: 115,711.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,917.54 : 343,425.56 = 77,129.72 : x
  2. Step 2: Convert to fraction form
    228,917.54/343,425.56 = 77,129.72/x
  3. Step 3: Cross multiply
    228,917.54x = 343,425.56 × 77,129.72
  4. Step 4: Simplify right side
    228,917.54x = 26,488,316,794.10
  5. Step 5: Solve for x
    x = 26,488,316,794.10/228,917.54
  6. Step 6: Final answer
    x = 115,711.17

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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.