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Finding the Fourth Proportional to 118,967.95, 164,119.17 and 71,212.07

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Solution

The fourth proportional to 118,967.95, 164,119.17 and 71,212.07 is: 98,238.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,967.95 : 164,119.17 = 71,212.07 : x
  2. Step 2: Convert to fraction form
    118,967.95/164,119.17 = 71,212.07/x
  3. Step 3: Cross multiply
    118,967.95x = 164,119.17 × 71,212.07
  4. Step 4: Simplify right side
    118,967.95x = 11,687,265,822.38
  5. Step 5: Solve for x
    x = 11,687,265,822.38/118,967.95
  6. Step 6: Final answer
    x = 98,238.78

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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.