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Finding the Fourth Proportional to 120,849.68, 166,760.52 and 70,578

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Solution

The fourth proportional to 120,849.68, 166,760.52 and 70,578 is: 97,390.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,849.68 : 166,760.52 = 70,578 : x
  2. Step 2: Convert to fraction form
    120,849.68/166,760.52 = 70,578/x
  3. Step 3: Cross multiply
    120,849.68x = 166,760.52 × 70,578
  4. Step 4: Simplify right side
    120,849.68x = 11,769,623,980.56
  5. Step 5: Solve for x
    x = 11,769,623,980.56/120,849.68
  6. Step 6: Final answer
    x = 97,390.61

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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.