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Finding the Fourth Proportional to 276,109.68, 414,165.06 and 76,430.64

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Solution

The fourth proportional to 276,109.68, 414,165.06 and 76,430.64 is: 114,646.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,109.68 : 414,165.06 = 76,430.64 : x
  2. Step 2: Convert to fraction form
    276,109.68/414,165.06 = 76,430.64/x
  3. Step 3: Cross multiply
    276,109.68x = 414,165.06 × 76,430.64
  4. Step 4: Simplify right side
    276,109.68x = 31,654,900,601.44
  5. Step 5: Solve for x
    x = 31,654,900,601.44/276,109.68
  6. Step 6: Final answer
    x = 114,646.11

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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.