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Finding the Fourth Proportional to 281,327.52, 421,681.68 and 138,962.01

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Solution

The fourth proportional to 281,327.52, 421,681.68 and 138,962.01 is: 208,290.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,327.52 : 421,681.68 = 138,962.01 : x
  2. Step 2: Convert to fraction form
    281,327.52/421,681.68 = 138,962.01/x
  3. Step 3: Cross multiply
    281,327.52x = 421,681.68 × 138,962.01
  4. Step 4: Simplify right side
    281,327.52x = 58,597,733,832.98
  5. Step 5: Solve for x
    x = 58,597,733,832.98/281,327.52
  6. Step 6: Final answer
    x = 208,290.09

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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.