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Finding the Fourth Proportional to 71,278.48, 106,905.44 and 21,345.20

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Solution

The fourth proportional to 71,278.48, 106,905.44 and 21,345.20 is: 32,014.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,278.48 : 106,905.44 = 21,345.20 : x
  2. Step 2: Convert to fraction form
    71,278.48/106,905.44 = 21,345.20/x
  3. Step 3: Cross multiply
    71,278.48x = 106,905.44 × 21,345.20
  4. Step 4: Simplify right side
    71,278.48x = 2,281,917,997.89
  5. Step 5: Solve for x
    x = 2,281,917,997.89/71,278.48
  6. Step 6: Final answer
    x = 32,014.12

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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.