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Finding the Fourth Proportional to 227,544.60, 341,316.90 and 138,971.10

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Solution

The fourth proportional to 227,544.60, 341,316.90 and 138,971.10 is: 208,456.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,544.60 : 341,316.90 = 138,971.10 : x
  2. Step 2: Convert to fraction form
    227,544.60/341,316.90 = 138,971.10/x
  3. Step 3: Cross multiply
    227,544.60x = 341,316.90 × 138,971.10
  4. Step 4: Simplify right side
    227,544.60x = 47,433,185,041.59
  5. Step 5: Solve for x
    x = 47,433,185,041.59/227,544.60
  6. Step 6: Final answer
    x = 208,456.65

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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.