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Finding the Fourth Proportional to 81,035.64, 121,566.42 and 34,288.92

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Solution

The fourth proportional to 81,035.64, 121,566.42 and 34,288.92 is: 51,438.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,035.64 : 121,566.42 = 34,288.92 : x
  2. Step 2: Convert to fraction form
    81,035.64/121,566.42 = 34,288.92/x
  3. Step 3: Cross multiply
    81,035.64x = 121,566.42 × 34,288.92
  4. Step 4: Simplify right side
    81,035.64x = 4,168,381,250.07
  5. Step 5: Solve for x
    x = 4,168,381,250.07/81,035.64
  6. Step 6: Final answer
    x = 51,438.86

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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.