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Finding the Fourth Proportional to 65,675.60, 98,527.24 and 21,298.90

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Solution

The fourth proportional to 65,675.60, 98,527.24 and 21,298.90 is: 31,952.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,675.60 : 98,527.24 = 21,298.90 : x
  2. Step 2: Convert to fraction form
    65,675.60/98,527.24 = 21,298.90/x
  3. Step 3: Cross multiply
    65,675.60x = 98,527.24 × 21,298.90
  4. Step 4: Simplify right side
    65,675.60x = 2,098,521,579.88
  5. Step 5: Solve for x
    x = 2,098,521,579.88/65,675.60
  6. Step 6: Final answer
    x = 31,952.83

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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.