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Finding the Fourth Proportional to 78,998.56, 118,497.96 and 31,634.98

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Solution

The fourth proportional to 78,998.56, 118,497.96 and 31,634.98 is: 47,452.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,998.56 : 118,497.96 = 31,634.98 : x
  2. Step 2: Convert to fraction form
    78,998.56/118,497.96 = 31,634.98/x
  3. Step 3: Cross multiply
    78,998.56x = 118,497.96 × 31,634.98
  4. Step 4: Simplify right side
    78,998.56x = 3,748,680,594.64
  5. Step 5: Solve for x
    x = 3,748,680,594.64/78,998.56
  6. Step 6: Final answer
    x = 47,452.52

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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.