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Finding the Fourth Proportional to 65,257.78, 97,878.32 and 20,880.82

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Solution

The fourth proportional to 65,257.78, 97,878.32 and 20,880.82 is: 31,318.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,257.78 : 97,878.32 = 20,880.82 : x
  2. Step 2: Convert to fraction form
    65,257.78/97,878.32 = 20,880.82/x
  3. Step 3: Cross multiply
    65,257.78x = 97,878.32 × 20,880.82
  4. Step 4: Simplify right side
    65,257.78x = 2,043,779,581.82
  5. Step 5: Solve for x
    x = 2,043,779,581.82/65,257.78
  6. Step 6: Final answer
    x = 31,318.56

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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.