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Finding the Fourth Proportional to 43,490.69, 65,154.20 and 34,102.20

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Solution

The fourth proportional to 43,490.69, 65,154.20 and 34,102.20 is: 51,089.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,490.69 : 65,154.20 = 34,102.20 : x
  2. Step 2: Convert to fraction form
    43,490.69/65,154.20 = 34,102.20/x
  3. Step 3: Cross multiply
    43,490.69x = 65,154.20 × 34,102.20
  4. Step 4: Simplify right side
    43,490.69x = 2,221,901,388.73
  5. Step 5: Solve for x
    x = 2,221,901,388.73/43,490.69
  6. Step 6: Final answer
    x = 51,089.13

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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.