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Finding the Fourth Proportional to 128,908.46, 193,439.24 and 69,742.82

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Solution

The fourth proportional to 128,908.46, 193,439.24 and 69,742.82 is: 104,655.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,908.46 : 193,439.24 = 69,742.82 : x
  2. Step 2: Convert to fraction form
    128,908.46/193,439.24 = 69,742.82/x
  3. Step 3: Cross multiply
    128,908.46x = 193,439.24 × 69,742.82
  4. Step 4: Simplify right side
    128,908.46x = 13,490,996,780.35
  5. Step 5: Solve for x
    x = 13,490,996,780.35/128,908.46
  6. Step 6: Final answer
    x = 104,655.64

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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.