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Finding the Fourth Proportional to 77,105.68, 106,435.20 and 50,254.72

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Solution

The fourth proportional to 77,105.68, 106,435.20 and 50,254.72 is: 69,370.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,105.68 : 106,435.20 = 50,254.72 : x
  2. Step 2: Convert to fraction form
    77,105.68/106,435.20 = 50,254.72/x
  3. Step 3: Cross multiply
    77,105.68x = 106,435.20 × 50,254.72
  4. Step 4: Simplify right side
    77,105.68x = 5,348,871,174.14
  5. Step 5: Solve for x
    x = 5,348,871,174.14/77,105.68
  6. Step 6: Final answer
    x = 69,370.65

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1.5x scale

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.