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Finding the Fourth Proportional to 73,108.40, 109,403.40 and 49,780.40

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Solution

The fourth proportional to 73,108.40, 109,403.40 and 49,780.40 is: 74,494.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,108.40 : 109,403.40 = 49,780.40 : x
  2. Step 2: Convert to fraction form
    73,108.40/109,403.40 = 49,780.40/x
  3. Step 3: Cross multiply
    73,108.40x = 109,403.40 × 49,780.40
  4. Step 4: Simplify right side
    73,108.40x = 5,446,145,013.36
  5. Step 5: Solve for x
    x = 5,446,145,013.36/73,108.40
  6. Step 6: Final answer
    x = 74,494.11

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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.