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Finding the Fourth Proportional to 65,001.44, 89,708 and 39,501.92

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Solution

The fourth proportional to 65,001.44, 89,708 and 39,501.92 is: 54,516.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,001.44 : 89,708 = 39,501.92 : x
  2. Step 2: Convert to fraction form
    65,001.44/89,708 = 39,501.92/x
  3. Step 3: Cross multiply
    65,001.44x = 89,708 × 39,501.92
  4. Step 4: Simplify right side
    65,001.44x = 3,543,638,239.36
  5. Step 5: Solve for x
    x = 3,543,638,239.36/65,001.44
  6. Step 6: Final answer
    x = 54,516.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.