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Finding the Fourth Proportional to 71,028, 106,543.92 and 21,780

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Solution

The fourth proportional to 71,028, 106,543.92 and 21,780 is: 32,670.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,028 : 106,543.92 = 21,780 : x
  2. Step 2: Convert to fraction form
    71,028/106,543.92 = 21,780/x
  3. Step 3: Cross multiply
    71,028x = 106,543.92 × 21,780
  4. Step 4: Simplify right side
    71,028x = 2,320,526,577.60
  5. Step 5: Solve for x
    x = 2,320,526,577.60/71,028
  6. Step 6: Final answer
    x = 32,670.59

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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.