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Finding the Fourth Proportional to 281,176.60, 421,235.19 and 138,855.28

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Solution

The fourth proportional to 281,176.60, 421,235.19 and 138,855.28 is: 208,021.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,176.60 : 421,235.19 = 138,855.28 : x
  2. Step 2: Convert to fraction form
    281,176.60/421,235.19 = 138,855.28/x
  3. Step 3: Cross multiply
    281,176.60x = 421,235.19 × 138,855.28
  4. Step 4: Simplify right side
    281,176.60x = 58,490,730,253.30
  5. Step 5: Solve for x
    x = 58,490,730,253.30/281,176.60
  6. Step 6: Final answer
    x = 208,021.33

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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.