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Finding the Fourth Proportional to 76,397.96, 114,602.46 and 31,980.04

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Solution

The fourth proportional to 76,397.96, 114,602.46 and 31,980.04 is: 47,972.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,397.96 : 114,602.46 = 31,980.04 : x
  2. Step 2: Convert to fraction form
    76,397.96/114,602.46 = 31,980.04/x
  3. Step 3: Cross multiply
    76,397.96x = 114,602.46 × 31,980.04
  4. Step 4: Simplify right side
    76,397.96x = 3,664,991,254.90
  5. Step 5: Solve for x
    x = 3,664,991,254.90/76,397.96
  6. Step 6: Final answer
    x = 47,972.37

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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.