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Finding the Fourth Proportional to 65,955.40, 98,946.94 and 21,578.72

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Solution

The fourth proportional to 65,955.40, 98,946.94 and 21,578.72 is: 32,372.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,955.40 : 98,946.94 = 21,578.72 : x
  2. Step 2: Convert to fraction form
    65,955.40/98,946.94 = 21,578.72/x
  3. Step 3: Cross multiply
    65,955.40x = 98,946.94 × 21,578.72
  4. Step 4: Simplify right side
    65,955.40x = 2,135,148,313.12
  5. Step 5: Solve for x
    x = 2,135,148,313.12/65,955.40
  6. Step 6: Final answer
    x = 32,372.61

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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.