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Finding the Fourth Proportional to 108,971.40, 163,514.70 and 49,816.20

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Solution

The fourth proportional to 108,971.40, 163,514.70 and 49,816.20 is: 74,750.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,971.40 : 163,514.70 = 49,816.20 : x
  2. Step 2: Convert to fraction form
    108,971.40/163,514.70 = 49,816.20/x
  3. Step 3: Cross multiply
    108,971.40x = 163,514.70 × 49,816.20
  4. Step 4: Simplify right side
    108,971.40x = 8,145,680,998.14
  5. Step 5: Solve for x
    x = 8,145,680,998.14/108,971.40
  6. Step 6: Final answer
    x = 74,750.63

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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.