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Finding the Fourth Proportional to 77,102.68, 106,431.06 and 50,251.72

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Solution

The fourth proportional to 77,102.68, 106,431.06 and 50,251.72 is: 69,366.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,102.68 : 106,431.06 = 50,251.72 : x
  2. Step 2: Convert to fraction form
    77,102.68/106,431.06 = 50,251.72/x
  3. Step 3: Cross multiply
    77,102.68x = 106,431.06 × 50,251.72
  4. Step 4: Simplify right side
    77,102.68x = 5,348,343,826.42
  5. Step 5: Solve for x
    x = 5,348,343,826.42/77,102.68
  6. Step 6: Final answer
    x = 69,366.51

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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.