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Finding the Fourth Proportional to 276,820.10, 415,230.42 and 77,141.06

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Solution

The fourth proportional to 276,820.10, 415,230.42 and 77,141.06 is: 115,711.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,820.10 : 415,230.42 = 77,141.06 : x
  2. Step 2: Convert to fraction form
    276,820.10/415,230.42 = 77,141.06/x
  3. Step 3: Cross multiply
    276,820.10x = 415,230.42 × 77,141.06
  4. Step 4: Simplify right side
    276,820.10x = 32,031,314,743.05
  5. Step 5: Solve for x
    x = 32,031,314,743.05/276,820.10
  6. Step 6: Final answer
    x = 115,711.67

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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.