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Finding the Fourth Proportional to 162,225, 223,870 and 90,605.04

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Solution

The fourth proportional to 162,225, 223,870 and 90,605.04 is: 125,034.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,225 : 223,870 = 90,605.04 : x
  2. Step 2: Convert to fraction form
    162,225/223,870 = 90,605.04/x
  3. Step 3: Cross multiply
    162,225x = 223,870 × 90,605.04
  4. Step 4: Simplify right side
    162,225x = 20,283,750,304.80
  5. Step 5: Solve for x
    x = 20,283,750,304.80/162,225
  6. Step 6: Final answer
    x = 125,034.68

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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.