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Finding the Fourth Proportional to 228,118.61, 342,180.64 and 138,180.96

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Solution

The fourth proportional to 228,118.61, 342,180.64 and 138,180.96 is: 207,273.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,118.61 : 342,180.64 = 138,180.96 : x
  2. Step 2: Convert to fraction form
    228,118.61/342,180.64 = 138,180.96/x
  3. Step 3: Cross multiply
    228,118.61x = 342,180.64 × 138,180.96
  4. Step 4: Simplify right side
    228,118.61x = 47,282,848,983.16
  5. Step 5: Solve for x
    x = 47,282,848,983.16/228,118.61
  6. Step 6: Final answer
    x = 207,273.09

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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.