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Finding the Fourth Proportional to 78,059.68, 116,995.22 and 38,018.65

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Solution

The fourth proportional to 78,059.68, 116,995.22 and 38,018.65 is: 56,982.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,059.68 : 116,995.22 = 38,018.65 : x
  2. Step 2: Convert to fraction form
    78,059.68/116,995.22 = 38,018.65/x
  3. Step 3: Cross multiply
    78,059.68x = 116,995.22 × 38,018.65
  4. Step 4: Simplify right side
    78,059.68x = 4,447,999,735.88
  5. Step 5: Solve for x
    x = 4,447,999,735.88/78,059.68
  6. Step 6: Final answer
    x = 56,982.04

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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.