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Finding the Fourth Proportional to 247,031.78, 340,905.05 and 133,854.50

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Solution

The fourth proportional to 247,031.78, 340,905.05 and 133,854.50 is: 184,719.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,031.78 : 340,905.05 = 133,854.50 : x
  2. Step 2: Convert to fraction form
    247,031.78/340,905.05 = 133,854.50/x
  3. Step 3: Cross multiply
    247,031.78x = 340,905.05 × 133,854.50
  4. Step 4: Simplify right side
    247,031.78x = 45,631,675,015.23
  5. Step 5: Solve for x
    x = 45,631,675,015.23/247,031.78
  6. Step 6: Final answer
    x = 184,719.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.