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Finding the Fourth Proportional to 73,821.40, 110,714.10 and 21,225.40

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Solution

The fourth proportional to 73,821.40, 110,714.10 and 21,225.40 is: 31,832.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,821.40 : 110,714.10 = 21,225.40 : x
  2. Step 2: Convert to fraction form
    73,821.40/110,714.10 = 21,225.40/x
  3. Step 3: Cross multiply
    73,821.40x = 110,714.10 × 21,225.40
  4. Step 4: Simplify right side
    73,821.40x = 2,349,951,058.14
  5. Step 5: Solve for x
    x = 2,349,951,058.14/73,821.40
  6. Step 6: Final answer
    x = 31,832.92

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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.