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Finding the Fourth Proportional to 65,005.34, 97,538.91 and 45,045.54

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Solution

The fourth proportional to 65,005.34, 97,538.91 and 45,045.54 is: 67,589.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,005.34 : 97,538.91 = 45,045.54 : x
  2. Step 2: Convert to fraction form
    65,005.34/97,538.91 = 45,045.54/x
  3. Step 3: Cross multiply
    65,005.34x = 97,538.91 × 45,045.54
  4. Step 4: Simplify right side
    65,005.34x = 4,393,693,104.06
  5. Step 5: Solve for x
    x = 4,393,693,104.06/65,005.34
  6. Step 6: Final answer
    x = 67,589.73

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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.