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Finding the Fourth Proportional to 162,002, 223,539 and 90,376.40

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Solution

The fourth proportional to 162,002, 223,539 and 90,376.40 is: 124,706.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,002 : 223,539 = 90,376.40 : x
  2. Step 2: Convert to fraction form
    162,002/223,539 = 90,376.40/x
  3. Step 3: Cross multiply
    162,002x = 223,539 × 90,376.40
  4. Step 4: Simplify right side
    162,002x = 20,202,650,079.60
  5. Step 5: Solve for x
    x = 20,202,650,079.60/162,002
  6. Step 6: Final answer
    x = 124,706.18

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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.