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Finding the Fourth Proportional to 65,952.63, 98,941.10 and 21,581.87

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Solution

The fourth proportional to 65,952.63, 98,941.10 and 21,581.87 is: 32,376.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,952.63 : 98,941.10 = 21,581.87 : x
  2. Step 2: Convert to fraction form
    65,952.63/98,941.10 = 21,581.87/x
  3. Step 3: Cross multiply
    65,952.63x = 98,941.10 × 21,581.87
  4. Step 4: Simplify right side
    65,952.63x = 2,135,333,355.24
  5. Step 5: Solve for x
    x = 2,135,333,355.24/65,952.63
  6. Step 6: Final answer
    x = 32,376.77

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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.