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Finding the Fourth Proportional to 77,138.56, 106,419.80 and 50,271.28

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Solution

The fourth proportional to 77,138.56, 106,419.80 and 50,271.28 is: 69,353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,138.56 : 106,419.80 = 50,271.28 : x
  2. Step 2: Convert to fraction form
    77,138.56/106,419.80 = 50,271.28/x
  3. Step 3: Cross multiply
    77,138.56x = 106,419.80 × 50,271.28
  4. Step 4: Simplify right side
    77,138.56x = 5,349,859,563.34
  5. Step 5: Solve for x
    x = 5,349,859,563.34/77,138.56
  6. Step 6: Final answer
    x = 69,353.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.