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Finding the Fourth Proportional to 65,006.32, 89,710.36 and 39,869.68

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Solution

The fourth proportional to 65,006.32, 89,710.36 and 39,869.68 is: 55,021.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,006.32 : 89,710.36 = 39,869.68 : x
  2. Step 2: Convert to fraction form
    65,006.32/89,710.36 = 39,869.68/x
  3. Step 3: Cross multiply
    65,006.32x = 89,710.36 × 39,869.68
  4. Step 4: Simplify right side
    65,006.32x = 3,576,723,345.88
  5. Step 5: Solve for x
    x = 3,576,723,345.88/65,006.32
  6. Step 6: Final answer
    x = 55,021.16

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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.