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Finding the Fourth Proportional to 161,390, 222,718.20 and 90,734

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Solution

The fourth proportional to 161,390, 222,718.20 and 90,734 is: 125,212.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,390 : 222,718.20 = 90,734 : x
  2. Step 2: Convert to fraction form
    161,390/222,718.20 = 90,734/x
  3. Step 3: Cross multiply
    161,390x = 222,718.20 × 90,734
  4. Step 4: Simplify right side
    161,390x = 20,208,113,158.80
  5. Step 5: Solve for x
    x = 20,208,113,158.80/161,390
  6. Step 6: Final answer
    x = 125,212.92

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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.